I am implementing factory design pattern in java

I am implementing factory design pattern in java where I want to keep one overloaded method in abstract class. Will it violate the factory pattern concept? Or please suggest whether this is right way to implement Factory design pattern ?

abstract class A{
meth(int a);
meth(int a,int b);
}

class Factory{
    factoryMethod(int a){
     if(a==1){
                return new Ob1();
            }
            else{
                return new Ob2();
            }
        }
}

class Ob1 extends  A{

meth(int a){}
meth(int a,int b){}
}