Calculate the Greatest Common Factor or GCF of 192, 242 and 328
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The instructions to find the GCF of 192, 242 and 328 are the next:
1. Decompose all numbers into prime factors
192 | 2 |
96 | 2 |
48 | 2 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
242 | 2 |
121 | 11 |
11 | 11 |
1 |
328 | 2 |
164 | 2 |
82 | 2 |
41 | 41 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 192 | = | 26 . 3 |
Prime factors of 242 | = | 2 . 112 |
Prime factors of 328 | = | 23 . 41 |
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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