Touchscreen Periodically Not Working

I have an iPhone 6 that I got brand new almost two years ago (July 2015ish) and for the past couple months I've been having touchscreen issues where the phone would either become unresponsive or erraticly tap on random things. Usually, when the screen derped I'd try a couple of "putting it to sleep then unlocking it" sequences and the phone would work fine. As of the last two days, the problems have gotten worse, almost the point where the it becomes unusable. I've tried restarting the phone, clearing the RAM, charging it, etc. but the problem persists. I feel like this is probably a hardware issue and not a software one. Any help would be greatly appreciated.