Calculate the Greatest Common Factor or GCF of 140, 180 and 220
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The instructions to find the GCF of 140, 180 and 220 are the next:
1. Decompose all numbers into prime factors
| 140 | 2 |
| 70 | 2 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 180 | 2 |
| 90 | 2 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 220 | 2 |
| 110 | 2 |
| 55 | 5 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 140 | = | 22 . 5 . 7 |
| Prime factors of 180 | = | 22 . 32 . 5 |
| Prime factors of 220 | = | 22 . 5 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 5
Common prime factors with the lowest exponent: 22, 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. 51 = 20
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