Hi,Welcome to Just Answer, My name is XXXXX XXXXX forward to helping you today.
you need whats called the central control unit for the washer $138.00 and the dryer looks to be a timer . $110.00 I will send the part numbers and a link to purchase them in a moment if you want to order and replace them yourself. let me know if you want the links, thanks Bryan
here are the links to the parts. dryer timer. http://www.repairclinic.com/PartDetail/Timer-/131930600/823135?modelNumber=GLEQ642AS2
washer control unit, http://www.repairclinic.com/PartDetail/Central-Control-Unit-/137006000/1472564?modelNumber=GLTF2940FS1
just click the blue links for each part. thanks, Bryan