No. Both are divisible by 5.
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Yes, e.g. 3 and 5 are relatively prime, 27 (33) and 25 (52) are relatively prime...
If you don't include 20, 25 and 30, all of the numbers in that range are relatively prime to 25.
Two numbers are relatively prime if the only factor they have in common is 1. The factors of 12 are 1, 2, 3, 4, 6, and 12. The factors of 25 are 1, 5, and 10. The only factor they have in common is 1, so they are relatively prime.
If you don't include 20 and 30, all of them.
The prime numbers between 10 and 25 are 11, 13, 17, 19, and 23.