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Q: What is the greatest common factor of 32 56 and 96 using prime factorization?

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You do a factor rainbow to find a prime factorization. You compare prime factorizations to find a greatest common factor.

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The prime factorization of 2456 is 2 x 2 x 2 x 307. There is not a greatest common factor. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Examples: The prime factorization of 36 is 2 x 2 x 3 x 3. The prime factors it has in common with 2456 are 2 and 2, so the greatest common factor is 2 x 2 = 4. The prime factorization of 921 is 3 x 307. The prime factors that it has in common with 2456 is 307, so the greatest common factor is 307.

The greatest common factor of 55 and 77 is 11. The prime factorization of 55 is 5*11. The prime factorization of 77 is 7*11. The greatest common factor is 11.

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The greatest common factor of 20 and 555 is 5. The prime factorization of 20 is 2*2*5 The prime factorization of 555 is 3*5*37 So the greatest common factor is 5.

You do not. To have a greatest common factor, you need two or more numbers. A common factor is a factor that two or more number have in common. However, the prime factorization of all the numbers will help you find the greatest common factor. The greatest common factor will be the prime factors they have in common multiplied together. Example: The prime factorization of 30135 is 3 x 5 x 7 x 7 x 41. The prime factorization of 98 is 2 x 7 x 7. The prime factors they have in common are 7 and 7, so the greatest common factor is 7 x 7 = 49.

1 is the greatest and only common factor of 15 and 38. The prime factorization of 15 is 3*5. The prime factorization of 38 is 2*19

The greatest common factor of 6, 15 and 21 is 3. The prime factorization of 6 is 2*3 The prime factorization of 15 is 3*5 The prime factorization of 21 is 3*7 The GCF is then 3, as it is the only common factor.

The prime factorization of 24=3 x 23 and the prime factorization of 40= 5 x 23, so the greatest common factor of 24 and 40 is 23 or 8.

Greatest Prime Factor of 70The prime factorization of 70 is 2 X 5 X 7, so the greatest prime factor in the prime factorization of 70 is 7.

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