Calculate the Greatest Common Factor or GCF of 13, 39 and 182
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The instructions to find the GCF of 13, 39 and 182 are the next:
1. Decompose all numbers into prime factors
13 | 13 |
1 |
39 | 3 |
13 | 13 |
1 |
182 | 2 |
91 | 7 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 13 | = | 13 |
Prime factors of 39 | = | 3 . 13 |
Prime factors of 182 | = | 2 . 7 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 13
Common prime factors with the lowest exponent: 131
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.
GCF = 131 = 13
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