Calculate the Greatest Common Factor or GCF of 30240
Sponsors
The instructions to find the GCF of 30240 are the next:
1. Decompose all numbers into prime factors
| 30240 | 2 |
| 15120 | 2 |
| 7560 | 2 |
| 3780 | 2 |
| 1890 | 2 |
| 945 | 3 |
| 315 | 3 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 30240 | = | 25 . 33 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5 , 7
Common prime factors with the lowest exponent: 25, 33, 51, 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 = 25. 33. 51. 71 = 30240
Also calculates the: