Calculate the Greatest Common Factor or GCF of 546 and 1785
Sponsors
The instructions to find the GCF of 546 and 1785 are the next:
1. Decompose all numbers into prime factors
| 546 | 2 |
| 273 | 3 |
| 91 | 7 |
| 13 | 13 |
| 1 |
| 1785 | 3 |
| 595 | 5 |
| 119 | 7 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 546 | = | 2 . 3 . 7 . 13 |
| Prime factors of 1785 | = | 3 . 5 . 7 . 17 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 7
Common prime factors with the lowest exponent: 31, 71
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. 71 = 21
Also calculates the: