Calculate the Greatest Common Factor or GCF of 585 and 738
Sponsors
The instructions to find the GCF of 585 and 738 are the next:
1. Decompose all numbers into prime factors
| 585 | 3 |
| 195 | 3 |
| 65 | 5 |
| 13 | 13 |
| 1 |
| 738 | 2 |
| 369 | 3 |
| 123 | 3 |
| 41 | 41 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 585 | = | 32 . 5 . 13 |
| Prime factors of 738 | = | 2 . 32 . 41 |
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
Also calculates the: