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Yes. In general, if you have two different prime numbers, they will also be relatively prime.
They are both prime numbers
Yes, e.g. 3 and 5 are relatively prime, 27 (33) and 25 (52) are relatively prime...
No, 144 and 165 are not relatively prime. For them to be relatively prime, the number 1 could be their only common factor, but they also have 3 as a common factor.
Two numbers are relatively prime if the only factor they have in common is 1. Example: 12 and 17 are relatively prime because they have only 1 as a common factor. 12 and 21 are not relatively prime because they have 1 and 3 as common factors.