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Calculate the Greatest Common Factor or GCF of 50, 85, 89 and 100

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The instructions to find the GCF of 50, 85, 89 and 100 are the next:

1. Decompose all numbers into prime factors

502
255
55
1
855
1717
1
8989
1
1002
502
255
55
1

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

Prime factors of 50=2 . 52
Prime factors of 85=5 . 17
Prime factors of 89=89
Prime factors of 100=22 . 52

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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