Calculate the Greatest Common Factor or GCF of 37800
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The instructions to find the GCF of 37800 are the next:
1. Decompose all numbers into prime factors
| 37800 | 2 |
| 18900 | 2 |
| 9450 | 2 |
| 4725 | 3 |
| 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 37800 | = | 23 . 33 . 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: 23, 33, 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 = 23. 33. 52. 71 = 37800
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