Washing machine faucet leaking...?

It sounds like the bonnet is leaking. This occurs when the handle is turned on or off after longs periods of not being used. Usually the handle has a screw in the center (or not) of it. This screw holds the handle onto the stem which in turn pes through the"bonnet. The bonnet usually is shaped with a wrench type nut around it so you can tighten it. After you tighten it this may make the handle harder to turn as you have just compressed the packing inside the bonnet to stop the leak. DO NOT use teflon tape on this fitting ( the bonnet) or it will leak more. If tightening the bonnet doesn't work you can repack it but it's usually less of a head ache to replace the shut valve all together. A remember, if this one leaks the other will soon to. So if you replace it, replace both, the hot and cold.