Calculate the Greatest Common Factor or GCF of 910 and 1001
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The instructions to find the GCF of 910 and 1001 are the next:
1. Decompose all numbers into prime factors
910 | 2 |
455 | 5 |
91 | 7 |
13 | 13 |
1 |
1001 | 7 |
143 | 11 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 910 | = | 2 . 5 . 7 . 13 |
Prime factors of 1001 | = | 7 . 11 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 7 , 13
Common prime factors with the lowest exponent: 71, 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 = 71. 131 = 91
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