Calculate the Greatest Common Factor or GCF of 35, 55, 75 and 130
Sponsors
The instructions to find the GCF of 35, 55, 75 and 130 are the next:
1. Decompose all numbers into prime factors
| 35 | 5 |
| 7 | 7 |
| 1 |
| 55 | 5 |
| 11 | 11 |
| 1 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 130 | 2 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 35 | = | 5 . 7 |
| Prime factors of 55 | = | 5 . 11 |
| Prime factors of 75 | = | 3 . 52 |
| Prime factors of 130 | = | 2 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 5
Common prime factors with the lowest exponent: 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 = 51 = 5
Also calculates the: