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Calculate the Greatest Common Factor or GCF of 3500

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The instructions to find the GCF of 3500 are the next:

1. Decompose all numbers into prime factors

35002
17502
8755
1755
355
77
1

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

Prime factors of 3500=22 . 53 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: 2 , 5 , 7

Common prime factors with the lowest exponent: 22, 53, 71

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. 53. 71 = 3500


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