A) Factory Method pattern
The Factory Method is a creational design pattern that provides an interface for creating objects but allows subclasses to alter the type of an object that will be created.
If you have a creation method in base class and subclasses that extend it, you might be looking at the factory method.
B)Abstract Factory pattern
The Abstract Factory is a creational design pattern that allows producing families of related or dependent objects without specifying their concrete classes.
What are the "families of objects"? For instance, take this set of classes: Transport + Engine + Controls. There are might be several variants of these:
1- Car + CombustionEngine + SteeringWheel
2- Plane + JetEngine + Yoke
If your program doesn’t operate with product families, then you don’t need an abstract factory.
And again, a lot of people mix-up the abstract factory pattern with a simple factory class declared as abstract. Don’t do that!
REF: https://refactoring.guru/design-patterns/factory-comparison