Parametrized Abstract Factory / Factory Method / other creation patterns

I want to have some factory (doesn't matter if Abstract Factory pattern or Factory Method - looks like the second is specific form of the first one. In my case only one object should be created). The thing is that although created products are similar, they depends on some arguments.

How to prepare this architecture in compliance with design patterns?

Current (wrong - in my opinion) approach below

public abstract class Product {}

public class MyProduct : Product
{
    public bool Abc { get; set; }
}

public class YourProduct : Product {}

public abstract class ProductFactory
{
    //in some cases parameter not in use
    public abstract Product Create(HelpData additionalData);
}

public class MyProductFactory : ProductFactory
{
    public override Product Create(HelpData additionalData)
    {
        return new MyProduct {Abc = additionalData.SomethingImportantForMyProduct};
    }
}

public class YourProductFactory : ProductFactory
{
    //unused parameter
    public override Product Create(HelpData additionalData)
    {
        return new YourProduct();
    }
}

public class HelpData
{
    public bool SomethingImportantForMyProduct { get; set; }
}