Blower on 2004 Chevrolet Malibu Maxx

I was getting out of my car today and my blower wouldn't shut off, even after I shut the car off and ran my battery dead

2 answers
My 2006 Malibu Maxx recently did the same thing. It turns out that it needed the thermostat changed in it. A week later, my transmission went in it.
It is most likely your heat controle sensor, I have had my replaced. I would turn on the car and the fans would just start going even if cold, my temp reader in the car would not move after driving for 30 minutes. I would get it looked at soon