Calculate the Greatest Common Factor or GCF of 1260 and 1808
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The instructions to find the GCF of 1260 and 1808 are the next:
1. Decompose all numbers into prime factors
| 1260 | 2 |
| 630 | 2 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 1808 | 2 |
| 904 | 2 |
| 452 | 2 |
| 226 | 2 |
| 113 | 113 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1260 | = | 22 . 32 . 5 . 7 |
| Prime factors of 1808 | = | 24 . 113 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 22 = 4
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