Q: How can you use prime factorization to determine whether two numbers are relatively prime?

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Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

If the prime factorizations have no prime factors in common, the numbers are relatively prime.

let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime

2 x 2 x 2 x 5 = 40 2 x 7 x 7 = 98 The GCF is 2. The numbers are not relatively prime.

Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.

Related questions

Use the prime factorizations to determine the GCF. If the GCF is 1, the numbers are relatively prime. If the two numbers have no prime factors in common, they are relatively prime.

If the prime factorizations have no prime factors in common, the numbers are relatively prime.

let's have two numbers a and b and a set of primes (pi) Suppose a = pa pa+1pa+2... and b = pb pb+1 pb+2... If at least one pi in both factorization is in common then the two numbers are not coprime (relatively prime), if none is in common then they are coprime

If the prime factorizations have no factors in common, the LCM is the product of them.

By trying out whether you can divide it by different numbers. For one- or two-digit numbers, it is enough to test divisibility by 2, 3, 5, 7.

Example: 4 and 9 2 x 2 = 4 3 x 3 = 9 No common prime factors. The GCF is 1. The numbers are relatively prime.

2 x 2 x 2 x 5 = 40 2 x 7 x 7 = 98 The GCF is 2. The numbers are not relatively prime.

Yes, if they have no common factors. Do the prime factorization for two numbers, and check whether they have, or don't have, common factors. Example: let one of the numbers be 2 x 3, the other 52. Since none of the numbers shares factors with the other one, they are relatively prime.

If the prime factorization contains a 5 and a 7, 35 is a factor.

If the two numbers have no common prime factors, the LCM will be the product of the numbers.

Coprimes, or relative primes, are two or more numbers that share no common divisors. To determine whether numbers are relatively prime, find their greatest common denominaotr. If it's one, they're coprime.

If the factorization includes the number 2, it's even. If not, it's odd.