diff --git a/spring-core/src/main/java/org/springframework/core/annotation/OrderUtils.java b/spring-core/src/main/java/org/springframework/core/annotation/OrderUtils.java
index 494f4c886e1..25acbc84816 100644
--- a/spring-core/src/main/java/org/springframework/core/annotation/OrderUtils.java
+++ b/spring-core/src/main/java/org/springframework/core/annotation/OrderUtils.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2019 the original author or authors.
+ * Copyright 2002-2020 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -81,7 +81,19 @@ public abstract class OrderUtils {
 	 */
 	@Nullable
 	public static Integer getOrder(Class<?> type) {
-		return getOrderFromAnnotations(type, MergedAnnotations.from(type, SearchStrategy.TYPE_HIERARCHY));
+		return getOrder((AnnotatedElement) type);
+	}
+
+	/**
+	 * Return the order declared on the specified {@code element}.
+	 * <p>Takes care of {@link Order @Order} and {@code @javax.annotation.Priority}.
+	 * @param element the annotated element (e.g. type or method)
+	 * @return the order value, or {@code null} if none can be found
+	 * @since 5.3
+	 */
+	@Nullable
+	public static Integer getOrder(AnnotatedElement element) {
+		return getOrderFromAnnotations(element, MergedAnnotations.from(element, SearchStrategy.TYPE_HIERARCHY));
 	}
 
 	/**
diff --git a/spring-web/src/main/java/org/springframework/web/method/ControllerAdviceBean.java b/spring-web/src/main/java/org/springframework/web/method/ControllerAdviceBean.java
index 21846840809..b8e2436d516 100644
--- a/spring-web/src/main/java/org/springframework/web/method/ControllerAdviceBean.java
+++ b/spring-web/src/main/java/org/springframework/web/method/ControllerAdviceBean.java
@@ -16,13 +16,21 @@
 
 package org.springframework.web.method;
 
+import java.lang.reflect.AnnotatedElement;
+import java.lang.reflect.Method;
 import java.util.ArrayList;
 import java.util.List;
 
 import org.springframework.aop.scope.ScopedProxyUtils;
 import org.springframework.beans.factory.BeanFactory;
 import org.springframework.beans.factory.BeanFactoryUtils;
+import org.springframework.beans.factory.ListableBeanFactory;
+import org.springframework.beans.factory.NoSuchBeanDefinitionException;
+import org.springframework.beans.factory.config.BeanDefinition;
+import org.springframework.beans.factory.config.ConfigurableBeanFactory;
+import org.springframework.beans.factory.support.RootBeanDefinition;
 import org.springframework.context.ApplicationContext;
+import org.springframework.context.ConfigurableApplicationContext;
 import org.springframework.core.OrderComparator;
 import org.springframework.core.Ordered;
 import org.springframework.core.annotation.AnnotatedElementUtils;
@@ -128,7 +136,7 @@ public class ControllerAdviceBean implements Ordered {
 
 	/**
 	 * Get the order value for the contained bean.
-	 * <p>As of Spring Framework 5.2, the order value is lazily retrieved using
+	 * <p>As of Spring Framework 5.3, the order value is lazily retrieved using
 	 * the following algorithm and cached. Note, however, that a
 	 * {@link ControllerAdvice @ControllerAdvice} bean that is configured as a
 	 * scoped bean &mdash; for example, as a request-scoped or session-scoped
@@ -137,6 +145,8 @@ public class ControllerAdviceBean implements Ordered {
 	 * <ul>
 	 * <li>If the {@linkplain #resolveBean resolved bean} implements {@link Ordered},
 	 * use the value returned by {@link Ordered#getOrder()}.</li>
+	 * <li>If the {@linkplain org.springframework.context.annotation.Bean factory method}
+	 * is known, use the value returned by {@link OrderUtils#getOrder(AnnotatedElement)}.
 	 * <li>If the {@linkplain #getBeanType() bean type} is known, use the value returned
 	 * by {@link OrderUtils#getOrder(Class, int)} with {@link Ordered#LOWEST_PRECEDENCE}
 	 * used as the default order value.</li>
@@ -148,9 +158,10 @@ public class ControllerAdviceBean implements Ordered {
 	@Override
 	public int getOrder() {
 		if (this.order == null) {
+			String beanName = null;
 			Object resolvedBean = null;
 			if (this.beanFactory != null && this.beanOrName instanceof String) {
-				String beanName = (String) this.beanOrName;
+				beanName = (String) this.beanOrName;
 				String targetBeanName = ScopedProxyUtils.getTargetBeanName(beanName);
 				boolean isScopedProxy = this.beanFactory.containsBean(targetBeanName);
 				// Avoid eager @ControllerAdvice bean resolution for scoped proxies,
@@ -168,11 +179,30 @@ public class ControllerAdviceBean implements Ordered {
 			if (resolvedBean instanceof Ordered) {
 				this.order = ((Ordered) resolvedBean).getOrder();
 			}
-			else if (this.beanType != null) {
-				this.order = OrderUtils.getOrder(this.beanType, Ordered.LOWEST_PRECEDENCE);
-			}
 			else {
-				this.order = Ordered.LOWEST_PRECEDENCE;
+				if (beanName != null && this.beanFactory instanceof ConfigurableBeanFactory) {
+					ConfigurableBeanFactory cbf = (ConfigurableBeanFactory) this.beanFactory;
+					try {
+						BeanDefinition bd = cbf.getMergedBeanDefinition(beanName);
+						if (bd instanceof RootBeanDefinition) {
+							Method factoryMethod = ((RootBeanDefinition) bd).getResolvedFactoryMethod();
+							if (factoryMethod != null) {
+								this.order = OrderUtils.getOrder(factoryMethod);
+							}
+						}
+					}
+					catch (NoSuchBeanDefinitionException ex) {
+						// ignore -> probably a manually registered singleton
+					}
+				}
+				if (this.order == null) {
+					if (this.beanType != null) {
+						this.order = OrderUtils.getOrder(this.beanType, Ordered.LOWEST_PRECEDENCE);
+					}
+					else {
+						this.order = Ordered.LOWEST_PRECEDENCE;
+					}
+				}
 			}
 		}
 		return this.order;
@@ -260,14 +290,19 @@ public class ControllerAdviceBean implements Ordered {
 	 * @see Ordered
 	 */
 	public static List<ControllerAdviceBean> findAnnotatedBeans(ApplicationContext context) {
+		ListableBeanFactory beanFactory = context;
+		if (context instanceof ConfigurableApplicationContext) {
+			// Use internal BeanFactory for potential downcast to ConfigurableBeanFactory above
+			beanFactory = ((ConfigurableApplicationContext) context).getBeanFactory();
+		}
 		List<ControllerAdviceBean> adviceBeans = new ArrayList<>();
-		for (String name : BeanFactoryUtils.beanNamesForTypeIncludingAncestors(context, Object.class)) {
+		for (String name : BeanFactoryUtils.beanNamesForTypeIncludingAncestors(beanFactory, Object.class)) {
 			if (!ScopedProxyUtils.isScopedTarget(name)) {
-				ControllerAdvice controllerAdvice = context.findAnnotationOnBean(name, ControllerAdvice.class);
+				ControllerAdvice controllerAdvice = beanFactory.findAnnotationOnBean(name, ControllerAdvice.class);
 				if (controllerAdvice != null) {
 					// Use the @ControllerAdvice annotation found by findAnnotationOnBean()
 					// in order to avoid a subsequent lookup of the same annotation.
-					adviceBeans.add(new ControllerAdviceBean(name, context, controllerAdvice));
+					adviceBeans.add(new ControllerAdviceBean(name, beanFactory, controllerAdvice));
 				}
 			}
 		}
diff --git a/spring-web/src/test/java/org/springframework/web/method/ControllerAdviceBeanTests.java b/spring-web/src/test/java/org/springframework/web/method/ControllerAdviceBeanTests.java
index 138dbfe28b2..a75c220fdf2 100644
--- a/spring-web/src/test/java/org/springframework/web/method/ControllerAdviceBeanTests.java
+++ b/spring-web/src/test/java/org/springframework/web/method/ControllerAdviceBeanTests.java
@@ -1,5 +1,5 @@
 /*
- * Copyright 2002-2019 the original author or authors.
+ * Copyright 2002-2020 the original author or authors.
  *
  * Licensed under the Apache License, Version 2.0 (the "License");
  * you may not use this file except in compliance with the License.
@@ -199,7 +199,7 @@ public class ControllerAdviceBeanTests {
 	}
 
 	@Test
-	@SuppressWarnings({ "rawtypes", "unchecked" })
+	@SuppressWarnings({"rawtypes", "unchecked"})
 	public void findAnnotatedBeansSortsBeans() {
 		Class[] expectedTypes = {
 			// Since ControllerAdviceBean currently treats PriorityOrdered the same as Ordered,
@@ -208,6 +208,7 @@ public class ControllerAdviceBeanTests {
 			PriorityOrderedControllerAdvice.class,
 			OrderAnnotationControllerAdvice.class,
 			PriorityAnnotationControllerAdvice.class,
+			SimpleControllerAdviceWithBeanOrder.class,
 			SimpleControllerAdvice.class,
 		};
 
@@ -229,7 +230,7 @@ public class ControllerAdviceBeanTests {
 		assertThat(new ControllerAdviceBean(bean).getOrder()).isEqualTo(expectedOrder);
 	}
 
-	@SuppressWarnings({ "unchecked", "rawtypes" })
+	@SuppressWarnings({"rawtypes", "unchecked"})
 	private void assertOrder(Class beanType, int expectedOrder) {
 		String beanName = "myBean";
 		BeanFactory beanFactory = mock(BeanFactory.class);
@@ -261,6 +262,9 @@ public class ControllerAdviceBeanTests {
 	@ControllerAdvice
 	static class SimpleControllerAdvice {}
 
+	@ControllerAdvice
+	static class SimpleControllerAdviceWithBeanOrder {}
+
 	@ControllerAdvice
 	@Order(100)
 	static class OrderAnnotationControllerAdvice {}
@@ -321,12 +325,12 @@ public class ControllerAdviceBeanTests {
 	static class MarkerClass {}
 
 	@Retention(RetentionPolicy.RUNTIME)
-	static @interface ControllerAnnotation {}
+	@interface ControllerAnnotation {}
 
 	@ControllerAnnotation
 	public static class AnnotatedController {}
 
-	static interface ControllerInterface {}
+	interface ControllerInterface {}
 
 	static class ImplementationController implements ControllerInterface {}
 
@@ -342,6 +346,12 @@ public class ControllerAdviceBeanTests {
 			return new SimpleControllerAdvice();
 		}
 
+		@Bean
+		@Order(300)
+		SimpleControllerAdviceWithBeanOrder simpleControllerAdviceWithBeanOrder() {
+			return new SimpleControllerAdviceWithBeanOrder();
+		}
+
 		@Bean
 		OrderAnnotationControllerAdvice orderAnnotationControllerAdvice() {
 			return new OrderAnnotationControllerAdvice();