Question

Two integers are relatively _________ if and only if their only common positive integer factor is 1.

Answer 1

Two integers are relatively primes if and only if their only common positive integer factor is 1.

Explanation:

The prime number is one whose only divisor is 1 and itself.

The prime factors of a whole number are the exact prime divisors of that whole number. In other words, every composite number can be written as a multiplication of two or more prime factors.

So, two integers are relative primes if they have no prime factor in common, or, put another way, if they have no common divisor other than 1.

So, two integers are relatively primes if and only if their only common positive integer factor is 1.