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Calculate the Greatest Common Factor or GCF of 3564

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The instructions to find the GCF of 3564 are the next:

1. Decompose all numbers into prime factors

35642
17822
8913
2973
993
333
1111
1

2. Write all numbers as the product of its prime factors

Prime factors of 3564=22 . 34 . 11

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 3 , 11

Common prime factors with the lowest exponent: 22, 34, 111

4. Calculate the Greatest Common Factor or GCF

Remember, to find the GCF of several numbers you must multiply the common prime factors with the lowest exponent.

GCF = 22. 34. 111 = 3564


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