No, because 1 is not their only common factor. The number 3 is also a common factor.
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25 and 36 are relatively prime because they both share 1 as a factor, but no other factor. As their only common factor is 1, they are relatively prime. Neither is a prime number itself, but it is about the common factors, so in relation to each other, they are relatively prime.
They are coprime or relatively prime, having a GCF of 1.
It can be. 21 is relatively prime with 32.
No, 100 and 202 are not relatively prime. Relatively prime numbers only have the number 1 as a common factor. The number 1 is a common factor for them, but the number 2 is another common factor that they have, so they are not relatively prime.
209 is relatively prime (as is 211).