Calculate the Greatest Common Factor or GCF of 560 and 640
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The instructions to find the GCF of 560 and 640 are the next:
1. Decompose all numbers into prime factors
| 560 | 2 |
| 280 | 2 |
| 140 | 2 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 640 | 2 |
| 320 | 2 |
| 160 | 2 |
| 80 | 2 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 560 | = | 24 . 5 . 7 |
| Prime factors of 640 | = | 27 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 24, 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 = 24. 51 = 80
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