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Why are two integers called relatively prime when their greatest common divisor is 1?
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In number theory, two integers are called relatively prime (or coprime) when their greatest common divisor (GCD) is 1.1
This terminology is used because 1 is the only positive integer that divides every positive integer. When the GCD of two numbers is 1, it signifies that the numbers share no common factors other than 1 (or -1). Essentially, they possess no common prime factors in their respective prime factorizations, meaning they are "prime" relative to one another, even if the individual numbers themselves are not prime numbers.12