Calculate the Greatest Common Factor or GCF of 680 and 816
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The instructions to find the GCF of 680 and 816 are the next:
1. Decompose all numbers into prime factors
| 680 | 2 |
| 340 | 2 |
| 170 | 2 |
| 85 | 5 |
| 17 | 17 |
| 1 |
| 816 | 2 |
| 408 | 2 |
| 204 | 2 |
| 102 | 2 |
| 51 | 3 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 680 | = | 23 . 5 . 17 |
| Prime factors of 816 | = | 24 . 3 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 17
Common prime factors with the lowest exponent: 23, 171
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 = 23. 171 = 136
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