Why does GFCI plug trip when exhaust fan is turned on?

That probably indicates a fault in the exhaust fan; either a motor winding has failed, or the fan is wired improperly Just to amplify - The Ground Fault Current/Circuit Interrupter (GFCI) detects current flowing to ground that should instead be flowing in the fan. This means somewhere in the fan the Hot wire has an unintended path to ground and is a shock hazard. You should check the wiring to the fan (with power off) and make sure there are no bare wires that could be causing your problem and if you don't see anything obvious you should replace the fan.

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