My iPhone 5s won't stay connected to any Wi-Fi?

At my house we just got a new routing system my tablet stays connected and works perfectly fine on the Wi-Fi, yet my phone randomly disconnects, I thought maybe it was just the router, I went over to my friends recently and it did the exact same thing, when his was staying connected the whole time

You could try Resetting your Network settings on your iPhone (Settings>General>Reset>Reset Network Settings) that will remove all known Wi-Fi networks that you've connected to, but it should help, if not contact Apple via their website

http://support.apple.com/.../kb/TS1398
This may help as well

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