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Calculate the Greatest Common Factor or GCF of 117, 220 and 222

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The instructions to find the GCF of 117, 220 and 222 are the next:

1. Decompose all numbers into prime factors

1173
393
1313
1
2202
1102
555
1111
1
2222
1113
3737
1

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

Prime factors of 117=32 . 13
Prime factors of 220=22 . 5 . 11
Prime factors of 222=2 . 3 . 37

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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