Calculate the Greatest Common Factor or GCF of 36, 44, 72 and 102
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The instructions to find the GCF of 36, 44, 72 and 102 are the next:
1. Decompose all numbers into prime factors
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 44 | 2 |
| 22 | 2 |
| 11 | 11 |
| 1 |
| 72 | 2 |
| 36 | 2 |
| 18 | 2 |
| 9 | 3 |
| 3 | 3 |
| 1 |
| 102 | 2 |
| 51 | 3 |
| 17 | 17 |
| 1 |
2. Write all numbers as the product of its prime factors
| Prime factors of 36 | = | 22 . 32 |
| Prime factors of 44 | = | 22 . 11 |
| Prime factors of 72 | = | 23 . 32 |
| Prime factors of 102 | = | 2 . 3 . 17 |
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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