Calculate the Greatest Common Factor or GCF of 24, 38, 52 and 66
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The instructions to find the GCF of 24, 38, 52 and 66 are the next:
1. Decompose all numbers into prime factors
| 24 | 2 |
| 12 | 2 |
| 6 | 2 |
| 3 | 3 |
| 1 |
| 38 | 2 |
| 19 | 19 |
| 1 |
| 52 | 2 |
| 26 | 2 |
| 13 | 13 |
| 1 |
| 66 | 2 |
| 33 | 3 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 24 | = | 23 . 3 |
| Prime factors of 38 | = | 2 . 19 |
| Prime factors of 52 | = | 22 . 13 |
| Prime factors of 66 | = | 2 . 3 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 21 = 2
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