Calculate the Greatest Common Factor or GCF of 378 and 630
Sponsors
The instructions to find the GCF of 378 and 630 are the next:
1. Decompose all numbers into prime factors
| 378 | 2 |
| 189 | 3 |
| 63 | 3 |
| 21 | 3 |
| 7 | 7 |
| 1 |
| 630 | 2 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 378 | = | 2 . 33 . 7 |
| Prime factors of 630 | = | 2 . 32 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7
Common prime factors with the lowest exponent: 21, 32, 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. 32. 71 = 126
Also calculates the: