Calculate the Greatest Common Factor or GCF of 14, 28 and 154
Sponsors
The instructions to find the GCF of 14, 28 and 154 are the next:
1. Decompose all numbers into prime factors
| 14 | 2 |
| 7 | 7 |
| 1 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 154 | 2 |
| 77 | 7 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 14 | = | 2 . 7 |
| Prime factors of 28 | = | 22 . 7 |
| Prime factors of 154 | = | 2 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 7
Common prime factors with the lowest exponent: 21, 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 = 21. 71 = 14
Also calculates the: