Do iPhone 5 screen protectors fit the iPhone 5s?

I got the 5s and I want to get front and back screen protectors for it. I can't seem to find a website that sells an iPhone 5s screen protector, so are they the same? I was thinking the fingerprint scan on the 5s would be too big to fit around the hole of the 5. Can anyone direct me to a good website that would sell front and back protectors?

Look at the link below on amazon. I do not think they fit both the 5 and 5S. The Touch ID is larger than the traditional home button and the flash is also longer on the 5S and you don't want to deal with that.

Don't forget the 5s is barely 1/2 a month old so accessories would be few & far between, for now anyway.
As far as availability, I think the 5 ones should work but again as you noted be wary about the new Home button.

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