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# What is the greatest common factor of 468 and 637?

Updated: 10/17/2022

Wiki User

9y ago

The GCF of 468 and 637 is 13.

Wiki User

9y ago

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Q: What is the greatest common factor of 468 and 637?
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13 is the greatest common factor of 208 and 637. Factor each number: 208 = 2 x 2 x 2 x 2 x 13 637 = 7 x 7 x 13 The only common factor (and thus, the greatest common factor) is 13.

7

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### What is the greatest common factor of 1820 and 637?

Writing down all the factors of both numbers requires too much time so it is not a good idea to find solution by writing each factor of both numbers. Method of prime factorization is one of the good methods to find GCF. Prime factorization is like breaking a number into other numbers, prime numbers, and this factorization is unique. Prime factorization is like a blueprint for numbers. Prime factorization of 1820 = 22 x 5 x 7 x 13 Prime factorization of 637 = 7 x 7 x 13 7, 13 and 7x13 are common in the prime factorization of both numbers, but 7x13 is the greatest among these numbers. So, 7x13 = 91 is the GCF of 1820 and 637.

637

1 and 13

637