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Calculate the Greatest Common Factor or GCF of 65, 117, 118 and 126

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The instructions to find the GCF of 65, 117, 118 and 126 are the next:

1. Decompose all numbers into prime factors

655
1313
1
1173
393
1313
1
1182
5959
1
1262
633
213
77
1

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

Prime factors of 65=5 . 13
Prime factors of 117=32 . 13
Prime factors of 118=2 . 59
Prime factors of 126=2 . 32 . 7

3. Choose the common prime factors with the lowest exponent

Common prime factors: None

Common prime factors with the lowest exponent: None

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.

Since there are not common prime factors the GCF is 1


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