It takes about four steps to take apart a Kohler faucet. Shut off the faucet's water supply, disconnect the cold and hot water supply lines, loosen all nuts, and then remove the faucet.
Start by opening the cabinet beneath the faucet, clear all items, and then turn off the faucet's water supply. Drain any water remaining in the lines by turning on the faucet. Detach the hot and cold water supply lines on the underside of the faucet by adjusting the faucet counterclockwise with a wrench. Blot the water dry with a towel.
Using a basin wrench, loosen the mounting nuts under the faucet and sink. If the nuts are too tight, administer a penetrating oil spray, and let it sit for 15 minutes. Pry off the faucet by holding its handles and pulling it up. If necessary, clear the plumber's putty with a plastic putty knife.