Calculate the Greatest Common Factor or GCF of 495 and 1665
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The instructions to find the GCF of 495 and 1665 are the next:
1. Decompose all numbers into prime factors
| 495 | 3 |
| 165 | 3 |
| 55 | 5 |
| 11 | 11 |
| 1 |
| 1665 | 3 |
| 555 | 3 |
| 185 | 5 |
| 37 | 37 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 495 | = | 32 . 5 . 11 |
| Prime factors of 1665 | = | 32 . 5 . 37 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 32, 51
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. 51 = 45
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