Two numbers with greatest common factor 1 are called what?

Two numbers with greatest common factor 1 are called what?

• A. Relatively prime
• B. Mutually prime
• C. Coprime
• D. Quasi-prime

Answer: (C)

Two integers that share no common divisors other than 1 have a greatest common divisor of 1, which means they are coprime. This term specifically captures the idea that there is no prime factor they share. Relatively prime is a synonymous way to say the same thing, while other terms like mutually prime or quasi-prime aren’t the standard way to describe this relationship. For example, 8 and 15 have gcd 1, so they are coprime. If two numbers share any factor other than 1, they are not coprime (like 8 and 12, which share 4).

Two integers that share no common divisors other than 1 have a greatest common divisor of 1, which means they are coprime. This term specifically captures the idea that there is no prime factor they share. Relatively prime is a synonymous way to say the same thing, while other terms like mutually prime or quasi-prime aren’t the standard way to describe this relationship. For example, 8 and 15 have gcd 1, so they are coprime. If two numbers share any factor other than 1, they are not coprime (like 8 and 12, which share 4).