Other forms: priors; priorly
Generally you should eat dinner prior to brushing your teeth. Use the adjective prior for things that exist earlier in time or that happen first in time or order.
This is a formal word that is often used in legal language. A prior claim is a person's right to something that is considered more important or valuable because it came first. If you're looking for a less formal synonym, choose the word previous. Prior is from a Latin word with the same spelling.