Different strains of wart virus?

If I had warts on my hand would I risk transferring them to my genitals through, for instance, using the restroom or masturbating–or are genital warts a completely different viral strain than plantar or “regular” warts?

There are different strains of Papilloma Virus, this site says:

From what I read genital warts are only transferred through sexual contact. To get that wart off your hand, try duct tape!