Simple Factory and Static Factory are not design patterns rather coding style. However factory pattern could be implemented by using any one of the coding style but they wont honor Open Closed Principle.

As per Open Closed Principle, Code should be open to extension and Closed to Changes. In both the above coding style we have to change either the if else or switch case if new implementation of abstract class is introduces.

Factory Pattern is a design pattern in object-oriented programming that lets subclasses decide which class to instantiate when creating an object

Now Factory pattern honors Open Closed Principle and does not need change to factory method

Factory Pattern vs Abstract Factory Pattern
One difference between the two is that with the Abstract Factory pattern, a class delegates the responsibility of object instantiation to another object via composition whereas the Factory Method pattern uses inheritance and relies on a subclass to handle the desired object instantiation