In my EU country Gardasil 9 is the most common HPV vaccine nowadays. This protects against 9 most common strains. I would assume the same is true in other countries. We have gone from HPV 16/18 -> +6/11 -> +31/33/45/52/58 protection with 2/4/9-valent vaccines.

Ref: https://en.wikipedia.org/wiki/HPV_vaccine