Calculate the Greatest Common Factor or GCF of 96, 240 and 336
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The instructions to find the GCF of 96, 240 and 336 are the next:
1. Decompose all numbers into prime factors
| 96 | 2 |
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 240 | 2 |
| 120 | 2 |
| 60 | 2 |
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 336 | 2 |
| 168 | 2 |
| 84 | 2 |
| 42 | 2 |
| 21 | 3 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 96 | = | 25 . 3 |
| Prime factors of 240 | = | 24 . 3 . 5 |
| Prime factors of 336 | = | 24 . 3 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 24, 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 = 24. 31 = 48
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