I have a Kohler Fairfax kitchen faucet. I have removed the top button and the screw. I cannot get the handle off.

We also have the Kohler Fairfax faucet. My husband took it apart this weekend to try to fix a leak but the local hardware store in the small town didn't have Kohler parts so we'll have to check Lowe's & HomeDepot. But I did find if you go to
Www.kohler.com &click on appropriate boxes to get to kitchen faucet repair then put in the model # (which is 12176 for Fairfax) you'll get an interactive diagram of the whole faucet workings & it has all the part numbers. My husband said maybe your handle has some rust & is just frozen on because he says he's sure he only took out the screws. Good luck.