Are any two prime numbers relatively prime and why?

Answer 1

Yes.

Any Prime number has only 1 and itself as its factors. So given any two different primes, P and Q, the first has only 1 and P as factors while the second has only 1 and Q as factors.

Since P is a prime, Q cannot be a factor of P, and since Q is a prime, P cannot be a factor of Q. Therefore P and Q are co-prime.