Are iPhone 5 and 5S the same size?

I want this cool iPhone 5 case for my 5s, and I want to know if it will fit.

Yes, they are. If you wanna buy a case, just search for iPhone 5.It's the same size!

They are the exact same size with same 4 inch display.

Yes they are the same size, but make note of the 5s's dual LED vs the 5's single LED

Is the 5S and 5G the same exact size so the cases will fit?