If you shook hands with a thousand people over the course of a couple of hours, you would worry about germs too.
I think about it when I shake hands with ONE person. I don't know where that guy's hands have been.
LOL!!
A couple weeks ago our corp. had a young gal in our HR dept for a week who was from our plant in Mexico . On her last day as she was making the rounds saying goodbye, I saw her coughing into her hand right before she came up to me. Right after she shook my hand and said goodbye, I couldn't make it to the bathroom fast enough in order to wash my hands......... Go figure, all the doorknobs, hand rails etc. I touch in the course of a day and this was the only time I thought about washing after contact.