Calculate the Greatest Common Factor or GCF of 56, 280 and 400
Sponsors
The instructions to find the GCF of 56, 280 and 400 are the next:
1. Decompose all numbers into prime factors
| 56 | 2 |
| 28 | 2 |
| 14 | 2 |
| 7 | 7 |
| 1 |
| 280 | 2 |
| 140 | 2 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 400 | 2 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 56 | = | 23 . 7 |
| Prime factors of 280 | = | 23 . 5 . 7 |
| Prime factors of 400 | = | 24 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 23
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 = 23 = 8
Also calculates the: