aloha~! my name is zalgo and i am here to you out on this amazing day. to answer your question, yes, nonzero numbers can have a greatest common factor and that would be 1. still don't get it? let me considering every number is divisible by 1 and hence every number has 1 as a factor of theirs. so, if 2 nonzero numbers didn't share any gcf (greatest common factor), they would still have a factor in common and that would be 1.
i hope that this ! : p
"stay brainly and stay proud! " - zalgo
(by the way, do you mind marking me as brainliest? i'd greatly appreciate it! mahalo! x3)