Calculate the Greatest Common Factor or GCF of 300, 420 and 480
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The instructions to find the GCF of 300, 420 and 480 are the next:
1. Decompose all numbers into prime factors
| 300 | 2 |
| 150 | 2 |
| 75 | 3 |
| 25 | 5 |
| 5 | 5 |
| 1 |
| 420 | 2 |
| 210 | 2 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 480 | 2 |
| 240 | 2 |
| 120 | 2 |
| 60 | 2 |
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 300 | = | 22 . 3 . 52 |
| Prime factors of 420 | = | 22 . 3 . 5 . 7 |
| Prime factors of 480 | = | 25 . 3 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 5
Common prime factors with the lowest exponent: 22, 31, 51
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. 31. 51 = 60
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