Calculate the Greatest Common Factor or GCF of 54, 105, 123 and 130
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The instructions to find the GCF of 54, 105, 123 and 130 are the next:
1. Decompose all numbers into prime factors
| 54 | 2 |
| 27 | 3 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 105 | 3 |
| 35 | 5 |
| 7 | 7 |
| 1 |
| 123 | 3 |
| 41 | 41 |
| 1 |
| 130 | 2 |
| 65 | 5 |
| 13 | 13 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 54 | = | 2 . 33 |
| Prime factors of 105 | = | 3 . 5 . 7 |
| Prime factors of 123 | = | 3 . 41 |
| Prime factors of 130 | = | 2 . 5 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: None
Common prime factors with the lowest exponent: None
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.
Since there are not common prime factors the GCF is 1
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