These words have the same root:
Old French fait (12c.) "action, deed, achievement," from Latin factum "thing done," a noun based on the past participle of facere "make, do"
Today, we can distinguish between perception and action, between the things seen (the fact) and the person doing (the feat). There is no fact without things to be seen as it, and there is no feat without a person to do it. Things are the possibility of particular facts, Wittgenstein taught us. Likewise, we can add that people are the possibility of particular feats.