Calculate the Greatest Common Factor or GCF of 99, 234 and 378
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The instructions to find the GCF of 99, 234 and 378 are the next:
1. Decompose all numbers into prime factors
| 99 | 3 |
| 33 | 3 |
| 11 | 11 |
| 1 |
| 234 | 2 |
| 117 | 3 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 378 | 2 |
| 189 | 3 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 99 | = | 32 . 11 |
| Prime factors of 234 | = | 2 . 32 . 13 |
| Prime factors of 378 | = | 2 . 33 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 32
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 = 32 = 9
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