It can be. Since 13 is a Prime number, it is relatively prime to all other numbers except for multiples of 13.
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As 13 is prime and is not a factor of 24, then they are relatively prime
13 and 4 are relatively prime.
13 and 24 are relatively prime.
No, they are not relatively prime.
Yes, 13 and 14 are relatively prime. They share no factors other than 1.