Calculate the Greatest Common Factor or GCF of 1001 and 2431
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The instructions to find the GCF of 1001 and 2431 are the next:
1. Decompose all numbers into prime factors
1001 | 7 |
143 | 11 |
13 | 13 |
1 |
2431 | 11 |
221 | 13 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1001 | = | 7 . 11 . 13 |
Prime factors of 2431 | = | 11 . 13 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 11 , 13
Common prime factors with the lowest exponent: 111, 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 = 111. 131 = 143
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