I would say 10–15 times a day, but that includes after the bathroom and before/during preparing food. 3 meals, maybe a snack, 5–7 times to the bathroom, right there is 8–10. Sometimes when I first arrive home from being out I wash my hands.
When I go to the gym I sometimes use the Purell there if you want to count that. That would add one or two at the most of Purell 3 times a week.
If you include using a wipe at the supermarket that adds one or two a week.