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Calculate the Greatest Common Factor or GCF of 35, 65, 75 and 95

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The instructions to find the GCF of 35, 65, 75 and 95 are the next:

1. Decompose all numbers into prime factors

355
77
1
655
1313
1
753
255
55
1
955
1919
1

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

Prime factors of 35=5 . 7
Prime factors of 65=5 . 13
Prime factors of 75=3 . 52
Prime factors of 95=5 . 19

3. Choose the common prime factors with the lowest exponent

Common prime factors: 5

Common prime factors with the lowest exponent: 51

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 = 51 = 5


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