Calculate the Greatest Common Factor or GCF of 135, 162 and 180
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The instructions to find the GCF of 135, 162 and 180 are the next:
1. Decompose all numbers into prime factors
| 135 | 3 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 162 | 2 |
| 81 | 3 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 180 | 2 |
| 90 | 2 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 135 | = | 33 . 5 |
| Prime factors of 162 | = | 2 . 34 |
| Prime factors of 180 | = | 22 . 32 . 5 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 3
Common prime factors with the lowest exponent: 32
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 = 32 = 9
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