Not particularly influenced by either, but I prefer Bowies music overall.
Just never got into Prince. He became popular after I was already out of college and into my own musical universe which is about as far from Princes music as you can get. Chicks seemed to like him, his stuff was danceable and accessible but not my cuppa. Do respect his musical abilities, esp as a guitar player. Live he was most likely awesome but I never bought a ticket. I always thought him a little strange and full of himself. I didn't like his squeaky little voice. Jehovahs Witness? Good grief, I bet he never knocked on any doors. Probably had a spokesman for that too.
Then when he broke that dudes Epiphone I thought it was a really douche move.