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Calculate the Greatest Common Factor or GCF of 19, 31, 100 and 107

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The instructions to find the GCF of 19, 31, 100 and 107 are the next:

1. Decompose all numbers into prime factors

1919
1
3131
1
1002
502
255
55
1
107107
1

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

Prime factors of 19=19
Prime factors of 31=31
Prime factors of 100=22 . 52
Prime factors of 107=107

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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