Internet randomly times out

I've been having a problem and I don't know if its my computer or not, but it also does it with my xbox 360 too, but recently my internet would drop all connections to the internet. So i would be in the middle of my game on DayZ or on xbox live and all of sudden I disconnect and it only started happening 5 days ago, before that it was perfect. I would lose internet for 2 seconds and time out then reconnect and it does several times during the day. I have updated my drivers and done whatever I was told before. Nothing works, I have a brand new Modem/Router and it always has internet connection with 72.2 Mps downstream speed. I do not know what is wrong because my xbox is also doing it, other computers in my house don't do it and neither does my X1. What is the problem? I'm always connected to the network but internet just randomly drops.

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