Calculate the Greatest Common Factor or GCF of 1170 and 2709
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The instructions to find the GCF of 1170 and 2709 are the next:
1. Decompose all numbers into prime factors
| 1170 | 2 |
| 585 | 3 |
| 195 | 3 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 2709 | 3 |
| 903 | 3 |
| 301 | 7 |
| 43 | 43 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1170 | = | 2 . 32 . 5 . 13 |
| Prime factors of 2709 | = | 32 . 7 . 43 |
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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