Carla, first you will have to rule out any obvious medical condition. Some conditions that may cause fur pulling are: fleas, mites, mange, ringworm, infection or allergies.
However, some cats are diagnosed with a behavioral/psychological problem similar to OCD. There are medications to treat this.
You may want to try a hairball remedy. I do not like the conventional remedies because they contain petroleum. Instead, I would try something like this.
http://www.healthypooch.com/shop/cat...n_s_best_.html
Good luck at the vet, and keep us posted.