Calculate the Greatest Common Factor or GCF of 598 and 874
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The instructions to find the GCF of 598 and 874 are the next:
1. Decompose all numbers into prime factors
598 | 2 |
299 | 13 |
23 | 23 |
1 |
874 | 2 |
437 | 19 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 598 | = | 2 . 13 . 23 |
Prime factors of 874 | = | 2 . 19 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 23
Common prime factors with the lowest exponent: 21, 231
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 = 21. 231 = 46
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