Prevent *minor* leak from kitchen faucet base
Caulk may work to some extent, but silicone is soft and doesn't withstand movement terribly well. I'd check whether there's a seal missing at that location. Maybe it was installed in the wrong position.
If not, I'd install a thin rubber or silicone washer. This would mean disconnecting the faucet supply lines and removing the mounting nut, but it will result in a more reliable seal than caulk.
Otherwise, definitely use pure silicone caulk and not latex, which won't bond as well and tends to harden over time, which will result in cracking and failure.