Calculate the Greatest Common Factor or GCF of 12, 22 and 28
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The instructions to find the GCF of 12, 22 and 28 are the next:
1. Decompose all numbers into prime factors
12 | 2 |
6 | 2 |
3 | 3 |
1 |
22 | 2 |
11 | 11 |
1 |
28 | 2 |
14 | 2 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 12 | = | 22 . 3 |
Prime factors of 22 | = | 2 . 11 |
Prime factors of 28 | = | 22 . 7 |
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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