Calculate the Greatest Common Factor or GCF of 442 and 1261
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The instructions to find the GCF of 442 and 1261 are the next:
1. Decompose all numbers into prime factors
442 | 2 |
221 | 13 |
17 | 17 |
1 |
1261 | 13 |
97 | 97 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 442 | = | 2 . 13 . 17 |
Prime factors of 1261 | = | 13 . 97 |
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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