Calculate the Greatest Common Factor or GCF of 1200 and 1515
Sponsors
The instructions to find the GCF of 1200 and 1515 are the next:
1. Decompose all numbers into prime factors
| 1200 | 2 |
| 600 | 2 |
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 1515 | 3 |
| 505 | 5 |
| 101 | 101 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 1200 | = | 24 . 3 . 52 |
| Prime factors of 1515 | = | 3 . 5 . 101 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3 , 5
Common prime factors with the lowest exponent: 31, 51
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 = 31. 51 = 15
Also calculates the: