Calculate the Greatest Common Factor or GCF of 1767 and 2652
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The instructions to find the GCF of 1767 and 2652 are the next:
1. Decompose all numbers into prime factors
| 1767 | 3 |
| 589 | 19 |
| 31 | 31 |
| 1 |
| 2652 | 2 |
| 1326 | 2 |
| 663 | 3 |
| 221 | 13 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1767 | = | 3 . 19 . 31 |
| Prime factors of 2652 | = | 22 . 3 . 13 . 17 |
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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