Calculate the Greatest Common Factor or GCF of 2000 and 3600
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The instructions to find the GCF of 2000 and 3600 are the next:
1. Decompose all numbers into prime factors
| 2000 | 2 |
| 1000 | 2 |
| 500 | 2 |
| 250 | 2 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 3600 | 2 |
| 1800 | 2 |
| 900 | 2 |
| 450 | 2 |
| 225 | 3 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 2000 | = | 24 . 53 |
| Prime factors of 3600 | = | 24 . 32 . 52 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 24, 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 = 24. 52 = 400
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