Calculate the Greatest Common Factor or GCF of 48, 75 and 108
Sponsors
The instructions to find the GCF of 48, 75 and 108 are the next:
1. Decompose all numbers into prime factors
| 48 | 2 |
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 108 | 2 |
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 48 | = | 24 . 3 |
| Prime factors of 75 | = | 3 . 52 |
| Prime factors of 108 | = | 22 . 33 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 31
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 = 3
Also calculates the: