Calculate the Greatest Common Factor or GCF of 50400
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The instructions to find the GCF of 50400 are the next:
1. Decompose all numbers into prime factors
| 50400 | 2 |
| 25200 | 2 |
| 12600 | 2 |
| 6300 | 2 |
| 3150 | 2 |
| 1575 | 3 |
| 525 | 3 |
| 175 | 5 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 50400 | = | 25 . 32 . 52 . 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, 32, 52, 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. 32. 52. 71 = 50400
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