4 and 9
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No, they are not.
No, 75 and 625 are not relatively prime. No pair of numbers that both end in 5 can be relatively prime.
26 and 99 is the only pair which is relatively prime.
Any two prime numbers will be relatively prime. Numbers are relatively prime if they do not have any prime factors in common. Prime numbers have only themselves as prime factors, so all prime numbers are relatively prime to the others.
Infinitely many numbers are relatively prime to 37. Because 37 is a prime number, all other numbers are relatively prime to it.