Calculate the Greatest Common Factor or GCF of 306 and 765
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The instructions to find the GCF of 306 and 765 are the next:
1. Decompose all numbers into prime factors
| 306 | 2 |
| 153 | 3 |
| 51 | 3 |
| 17 | 17 |
| 1 |
| 765 | 3 |
| 255 | 3 |
| 85 | 5 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 306 | = | 2 . 32 . 17 |
| Prime factors of 765 | = | 32 . 5 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 17
Common prime factors with the lowest exponent: 32, 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 = 32. 171 = 153
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