Stinky Washcloths

Random complaint for the weekend.....
Ever since Emmy was a baby, I have used washcloths to clean her hands and face after meals. I usually reuse the same cloth throughout the day, rinsing it of course, then use a new one every day or so. However, after a while, the washcloths get really stinky. The smell won't come out, even after they are fresh out of the dryer. It's just like a stinky dish sponge, and I HATE that smell. It stays on your hands, and if I use it on my kid, they smell like the stinky washcloth as well. So, when this happens, I throw the washcloth away and buy new.
The problem is that they seem to be getting stinky really fast now. I just bought new ones about 6 weeks ago, and they already stink. Am I overly sensitive to this stink, or is that normal? What do you guys do to clean your kids after meals? Maybe there is a better idea....
Have a great weekend!