All warts, including hands, feet, and genital, are caused by a virus in the HPV (human papilloma virus) group - there are over 100 strains. Sometimes people think “HPV” refers specifically to strains 6 & 11, which cause genital warts, but this is not accurate.
I recently had an outbreak of 8-10 warts on my hands and feet. They were a nuisance, and the ones on my feet were briefly painful, but they all disappeared mysteriously, as warts often do. I’ve wondered if the immune system activation from the COVID-19 vaccine was helpful in this regard. Certainly the deranged skin flora from my long-term antibiotic use didn’t help.