Full remove icloud with 2 Factor Authentication enabled and phone number. Because your password alone is no longer enough to access your account, two–
Go to icloud menu and click exit icloud, enter 3 times any password. click reset password. Enter the phone number to which the device is linked – click “don’t have access to this number”. If a credit card menu appears click to “do not have credit card access”. Click Start recovery and enter a new phone number for recovery. Confirm the number – all ok .
Now the best part: how to remove icloud using this trick with two-factor authentication.
You will need to block your account in order to restore it with new password and remove icloud.
1 – go to icloud menu and try remove with 3 times wrong password at 3 time you press cancel.
2- do it again press 3 times wrong password and press cancel
3 – enter again any password 3 times and press cancel
Now your account will be blocked
1 – enter the new phone number you added in the first tutorial
2- restore your password and now you can remove icloud officially
NOTE: this will remove icloud definitely 100% from the phone and from apple servers icloud.com
Check also this Alternative method to remove icloud using two-factor authentication enabled :