Calculate the Greatest Common Factor or GCF of 2, 46, 72 and 98
Sponsors
The instructions to find the GCF of 2, 46, 72 and 98 are the next:
1. Decompose all numbers into prime factors
| 2 | 2 |
| 1 |
| 46 | 2 |
| 23 | 23 |
| 1 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 98 | 2 |
| 49 | 7 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 2 | = | 2 |
| Prime factors of 46 | = | 2 . 23 |
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 98 | = | 2 . 72 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
Also calculates the: