Best Answer

2 x 3 = 6

2 x 5 = 10

The GCF is 2.

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10 = 2*5

6 = 2*3

LCM = 2*5*3 = 30

GCF = 2

Q: Could you use the prime factorization to determine LCM and GCF of 10 and 6?

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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.

Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.

The prime factorization of 9 is 32 You need at least two numbers to find a GCF.

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

To answer GCF and LCM questions.

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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.

Once your prime factorization is complete and you discover that there are no numbers in common, the GCF is one and the numbers are declared to be relatively prime.

The prime factorization of 9 is 32 You need at least two numbers to find a GCF.

Prime factorization of 32 = 2x2x2x2x2 Prime factorization of 90 = 2x3x3x5 Prime factorization of 30 = 2x3x5 What is common in the prime factorization of the numbers? Only 2 is common, so GCF is 2.

Prime factorization of 27 = 3x3x3 Prime factorization of 49 = 7x7 From the prime factorizations it is clear that gcf is 1.

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

Prime factorization of 288 = 2x2x2x2x2x3x3Prime factorization of 40 = 2x2x2x5Prime factorization of 24 = 2x2x2x32x2x2 = 8, the GCF

The answer is 4

To answer GCF and LCM questions.

The GCF of 17, 34, and 106 is 1.The prime factorization of 17 is 1*17.The prime factorization of 34 is 2*17.The prime factorization of 106 is 2*53.Therefore, the GCF is 1.

You need at least two numbers to find a GCF. The prime factorization of 207 is 3 x 3 x 23.