Calculate the Greatest Common Factor or GCF of 23, 45, 69 and 72
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The instructions to find the GCF of 23, 45, 69 and 72 are the next:
1. Decompose all numbers into prime factors
| 23 | 23 |
| 1 |
| 45 | 3 |
| 15 | 3 |
| 5 | 5 |
| 1 |
| 69 | 3 |
| 23 | 23 |
| 1 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 23 | = | 23 |
| Prime factors of 45 | = | 32 . 5 |
| Prime factors of 69 | = | 3 . 23 |
| Prime factors of 72 | = | 23 . 32 |
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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