Q: How can you use the prime factorizations of two numbers to determine if they realatively prime?

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

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.

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

Negative numbers don't have prime factorizations.

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

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.

Since prime numbers only have one prime factor (themselves), they don't have prime factorizations.

If the prime factorizations contain no factors in common (their GCF is 1), the numbers are relatively prime.

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

Only composite numbershave prime factorizations. Prime factorizations must consist of only prime numbers.

If there are no prime factors in common, the GCF is 1.

No, prime factorizations consist entirely of prime numbers.

If none of the prime factors are in common, the LCM will be the product of the two.

Prime factorizations are expressions of numbers as products of prime factors. The prime factorization of 30 is 2 x 3 x 5.

Prime factorizations, for one example.

Negative numbers don't have prime factorizations.