Calculate the Greatest Common Factor or GCF of 160, 240 and 280
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The instructions to find the GCF of 160, 240 and 280 are the next:
1. Decompose all numbers into prime factors
| 160 | 2 |
| 80 | 2 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
| 240 | 2 |
| 120 | 2 |
| 60 | 2 |
| 30 | 2 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 280 | 2 |
| 140 | 2 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 160 | = | 25 . 5 |
| Prime factors of 240 | = | 24 . 3 . 5 |
| Prime factors of 280 | = | 23 . 5 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 23, 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 = 23. 51 = 40
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