Alright, I'm a native English speaker so you can probably trust what I say. Both methods mean the same as a general rule, meaning I can't think of any sentences at the moment that would result in a different interpretation between the two forms. However, you will almost never hear a native English speaker say The__of ___. It sounds awkward and while technically correct and meaning the same thing as ____'s _____, I wouldn't recommend that form. It's kinda a tell-tale that you don't quite have a handle on the language quite yet.