Calculate the Greatest Common Factor or GCF of 96 and 204
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The instructions to find the GCF of 96 and 204 are the next:
1. Decompose all numbers into prime factors
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 204 | 2 |
| 102 | 2 |
| 51 | 3 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 96 | = | 25 . 3 |
| Prime factors of 204 | = | 22 . 3 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 31
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 = 22. 31 = 12
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