Calculate the Greatest Common Factor or GCF of 300, 400 and 500
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The instructions to find the GCF of 300, 400 and 500 are the next:
1. Decompose all numbers into prime factors
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 400 | 2 |
| 200 | 2 |
| 100 | 2 |
| 50 | 2 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 500 | 2 |
| 250 | 2 |
| 125 | 5 |
| 25 | 5 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 300 | = | 22 . 3 . 52 |
| Prime factors of 400 | = | 24 . 52 |
| Prime factors of 500 | = | 22 . 53 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 22, 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 = 22. 52 = 100
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