Calculate the Greatest Common Factor or GCF of 2205 and 2625
Sponsors
The instructions to find the GCF of 2205 and 2625 are the next:
1. Decompose all numbers into prime factors
| 2205 | 3 |
| 735 | 3 |
| 245 | 5 |
| 49 | 7 |
| 7 | 7 |
| 1 |
| 2625 | 3 |
| 875 | 5 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 2205 | = | 32 . 5 . 72 |
| Prime factors of 2625 | = | 3 . 53 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5 , 7
Common prime factors with the lowest exponent: 31, 51, 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. 51. 71 = 105
Also calculates the: