Coprime numbers, prime to each other, relatively prime: 0 and 470?

0 and 470: coprime numbers?

0 and 470 are not coprime (relatively, mutually prime) if they have common prime factors, that is, if their greatest (highest) common factor (divisor), gcf, hcf, gcd, is not 1.

Calculate the greatest (highest) common factor (divisor), gcf, hcf, gcd

gcf, hcf, gcd (0; n) = n, where n is any integer, n >= 0

gcf, hcf, gcd (0; 470) = 470;

Zero is divisible by any integer number.

Coprime numbers (relatively prime) (0; 470)? No.

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Coprime numbers (numbers prime to each other, relatively prime, mutually prime)

Integers "a" and "b" are said to be relatively prime, mutually prime, or coprime if the only positive integer that divides both of them is 1. This is equivalent to their only common positive factor being 1. This is also equivalent to their greatest common factor (divisor) being 1.

For example, 16 and 17 are coprime, being commonly divisible by only 1, but 16 and 24 are not, because they are both divisible by 8. The numbers 1 and -1 are the only integers coprime to every integer, and they are the only integers to be coprime with 0. A fast way to determine whether two numbers are coprime is given by the Euclidean algorithm: Euclid's algorithm


What is a prime number?

What is a composite number?

Prime numbers up to 1,000

Prime numbers up to 10,000

Sieve of Eratosthenes

Euclid's algorithm

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