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Calculate the Greatest Common Factor or GCF of 13, 102 and 221

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The instructions to find the GCF of 13, 102 and 221 are the next:

1. Decompose all numbers into prime factors

1313
1
1022
513
1717
1
22113
1717
1

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

Prime factors of 13=13
Prime factors of 102=2 . 3 . 17
Prime factors of 221=13 . 17

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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