A fact, iirc, is a statement made which is purported to be about the real world. Given this, both of the statements "the moon is made out of green cheese" and "the moon is made out of things other than green cheese" are both statements of fact, and that they are factual statements is indeed indisputable. That they are true or false is entirely disputable, as veracity exists on a different spectrum than facts.

It's important to be clear about this, because some people seem to think that "it's a fact, therefore it's true". Facts aren't indisputably true, they are indisputably facts. True and false is a different scale.