Calculate the Greatest Common Factor or GCF of 78 and 675
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The instructions to find the GCF of 78 and 675 are the next:
1. Decompose all numbers into prime factors
| 78 | 2 |
| 39 | 3 |
| 13 | 13 |
| 1 |
| 675 | 3 |
| 225 | 3 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 78 | = | 2 . 3 . 13 |
| Prime factors of 675 | = | 33 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 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 = 31 = 3
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