Calculate the Greatest Common Factor or GCF of 306 and 674
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The instructions to find the GCF of 306 and 674 are the next:
1. Decompose all numbers into prime factors
306 | 2 |
153 | 3 |
51 | 3 |
17 | 17 |
1 |
674 | 2 |
337 | 337 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 306 | = | 2 . 32 . 17 |
Prime factors of 674 | = | 2 . 337 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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