Calculate the Greatest Common Factor or GCF of 36, 236 and 328
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The instructions to find the GCF of 36, 236 and 328 are the next:
1. Decompose all numbers into prime factors
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
236 | 2 |
118 | 2 |
59 | 59 |
1 |
328 | 2 |
164 | 2 |
82 | 2 |
41 | 41 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 36 | = | 22 . 32 |
Prime factors of 236 | = | 22 . 59 |
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: 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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