Calculate the Greatest Common Factor or GCF of 32, 36, 40 and 44
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The instructions to find the GCF of 32, 36, 40 and 44 are the next:
1. Decompose all numbers into prime factors
| 32 | 2 |
| 16 | 2 |
| 8 | 2 |
| 4 | 2 |
| 2 | 2 |
| 1 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 40 | 2 |
| 20 | 2 |
| 10 | 2 |
| 5 | 5 |
| 1 |
| 44 | 2 |
| 22 | 2 |
| 11 | 11 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 32 | = | 25 |
| Prime factors of 36 | = | 22 . 32 |
| Prime factors of 40 | = | 23 . 5 |
| Prime factors of 44 | = | 22 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 4
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