Calculate the Greatest Common Factor or GCF of 51200
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The instructions to find the GCF of 51200 are the next:
1. Decompose all numbers into prime factors
| 51200 | 2 |
| 25600 | 2 |
| 12800 | 2 |
| 6400 | 2 |
| 3200 | 2 |
| 1600 | 2 |
| 800 | 2 |
| 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 51200 | = | 211 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 211, 52
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 = 211. 52 = 51200
Also calculates the:
