I've had two apartments with a washing machine in each that was protected by a GFCI. I haven't heard of either of them tripping in the past two years, and the washing machines were older machines in both of them. I have a third apartment that will now have the washing machine and fridge on a GFCI protected receptacle. I'll let you know if it trips, but so far it hasn't.

The wiring is 2 wire no ground, that's why they are on GFCI circuits.

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Jim Robinson
New Mexico, USA