False Positive HIV test

So I was told by my doctor that I had a false positive on my initial HIV screening test (2 other HIV tests came back negative) but she wants me to get 1 more test to be sure it really was false. I am not HIV infected, it is pretty much impossible... No sex since i was last tested (negative) and no needle pricks either. I'm just wondering if anyone else has had this happen or heard of it? I've definitely found plenty of research of it happening to other women but Idk if people just don't want to discuss it or if it really is rare.