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Calculate the Greatest Common Factor or GCF of 34125

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The instructions to find the GCF of 34125 are the next:

1. Decompose all numbers into prime factors

341253
113755
22755
4555
917
1313
1

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

Prime factors of 34125=3 . 53 . 7 . 13

3. Choose the common prime factors with the lowest exponent

Common prime factors: 3 , 5 , 7 , 13

Common prime factors with the lowest exponent: 31, 53, 71, 131

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 = 31. 53. 71. 131 = 34125


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