Calculate the Greatest Common Factor or GCF of 119, 153 and 204
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The instructions to find the GCF of 119, 153 and 204 are the next:
1. Decompose all numbers into prime factors
| 119 | 7 |
| 17 | 17 |
| 1 |
| 153 | 3 |
| 51 | 3 |
| 17 | 17 |
| 1 |
| 204 | 2 |
| 102 | 2 |
| 51 | 3 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 119 | = | 7 . 17 |
| Prime factors of 153 | = | 32 . 17 |
| Prime factors of 204 | = | 22 . 3 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 17
Common prime factors with the lowest exponent: 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 = 171 = 17
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