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

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

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.

Use prime factorization to find the gcf of 65 and 195

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

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.

It is: 69

greatest common factor

It is 26

It is: 4

It is: 4

It is: 8

It is: 1

The GCF of 6 and 46 is 2.The prime factorization of 6 is 2*3The prime factorization of 46 is 2*23The GCF is 2.

Prime factorization of 69 = 3x23Prime factorization of 48 = 2x2x2x2x3Only 3 is common in prime factorization of both 69 & 48.Therefore, Greatest Common Factor is 3.

41 is a prime number which makes 41 the gcf of 41 and 82

Prime factorization of 343 = 7 x 7 x 7 Prime factorization of 57 = 3 x 19 It is clear that no prime number is common in the prime factorizations. Therefore, GCF of 343 & 57 is 1.

The GCF of 9, 18, 27, and 36 is 9. The prime factorization of 9 is 3*3 The prime factorization of 18 is 2*3*3 The prime factorization of 27 is 3*3*3 The prime factorization of 36 is 2*2*3*3 The GCF is 3*3 = 9

Prime factorization of 24 = 2x2x2x3Prime factorization of 16 = 2x2x2x2GCF(24, 16) = 2x2x2 = 8