My cats never ever throw up hair balls. Or if they do it, than somewhere outside where I don't know about.
I give both of them dried food mixed with hairball treatment that I get from the vet.

My vet-friend told me that every cat that grooms herself, throws them up. It's normal, they have to leave the body.

You can of course make sure that you brush your cat with gloves that attract any loose hair. My cats love it and jump on my lap in the evening when I get the gloves out. They hardly shed and I never have cat hair on my clothes eiter (instead I have dog hair all over the place )