Calculate the Greatest Common Factor or GCF of 3645 and 4374
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The instructions to find the GCF of 3645 and 4374 are the next:
1. Decompose all numbers into prime factors
| 3645 | 3 |
| 1215 | 3 |
| 405 | 3 |
| 135 | 3 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 4374 | 2 |
| 2187 | 3 |
| 729 | 3 |
| 243 | 3 |
| 81 | 3 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 3645 | = | 36 . 5 |
| Prime factors of 4374 | = | 2 . 37 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 36
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 = 36 = 729
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