[johnny wen]

My dryer shorts out. It trips the gfci right when I plug it. My washer works on the same gfci but dryer cant be plugged.

I believe there is a short on my dryer somewhere. Where do I start? I checked for good ground and I even unplugged the door switch.

What is likely to cause a short
Model 110.7280201

[denman]

Nothing comes up when I search using the given model number please check it. Kenmore numbers are usually 3 digits, a period and then 8 more digits.
You seem to be missing one digit.

Has the dryer ever run connected to this GFI?

Try running it off a non-gfi outlet. Use an extension cord if you have to, be sure it is 3 prong.
You are trying to determine if the GFI is tripping because of high current (re: trips before the electrical circuit breaker can) of is it due to leakage current to ground/frame.
If it runs OK on a non-GFI then it is leakage current.

The GFI monitors the amperage coming into the unit (L1) and the amperage leaving the unit on the Neutral, if they vary by a few milli-amps then it trips.
I think your unit has a moisture sensor (2 metal strips) in the drum area. One strip is connected to the ground/frame and when there is moisture/dirt between the strips current flows to ground telling the control board that the clothes are wet, holding the timer off.
I think this small current to ground is what is tripping the GFI.
Perhaps try cleaning between the strips with water or isopropyl alcohol, be sure to dry it good. Try an empty run, if it works then you will have to run the unit off of a non GFI outlet.