Calculate the Greatest Common Factor or GCF of 650 and 676
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The instructions to find the GCF of 650 and 676 are the next:
1. Decompose all numbers into prime factors
| 650 | 2 |
| 325 | 5 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 676 | 2 |
| 338 | 2 |
| 169 | 13 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 650 | = | 2 . 52 . 13 |
| Prime factors of 676 | = | 22 . 132 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 13
Common prime factors with the lowest exponent: 21, 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 = 21. 131 = 26
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