Find a serial number

To find the serial number, if not in obvious location such as on the door itself, somewhat like on a car, you will probably have to pull the unit out from the wall, remove the back panel, which involves a considerable effort, and look for a serial number inside. There may be a separate serial number for the compressor/motor and for the refrigerator itself, as the compressor/motor may have been supplied by a subcontractor to GE such as Copeland or Temcuseh although GE did build their own I just don't know offhand in your case.