Q: the add a fingertouch part on my IPhone 5s is greyed out, it will not let me add a fingerprint

Do you have a passcode set on the phone? Is Touch ID turned on? Do you have other fingers set on the phone?

my phone has same problem, and when I try to add a fingerprint, it goes directly to "failed" and will not let me put one in.

Do you actually have an iPhone 5s? I'm asking because your profile says that you have an iPhone 5c,

Have you tried all the steps from this support article?

Use Touch ID on iPhone and iPad - Apple Support

In that case it is most likely a hardware failure of the Touch ID module, you will need to get it serviced. Make a Genius Bar appointment at your nearest Apple Store.

Easiest way to make an appointment is to download the Apple Store app (if you don't already have it) and make the appointment via the app.

They will try to get it working but if it is a hardware failure they will replace the iPhone so back it up before you go. If you are in warranty and there is no accidental damage to your phone they will replace it under your warranty.

Yes, $269 USD. They replace the entire phone not just the Touch ID.