Calculate the Greatest Common Factor or GCF of 8, 16 and 22
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The instructions to find the GCF of 8, 16 and 22 are the next:
1. Decompose all numbers into prime factors
8 | 2 |
4 | 2 |
2 | 2 |
1 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
22 | 2 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 8 | = | 23 |
Prime factors of 16 | = | 24 |
Prime factors of 22 | = | 2 . 11 |
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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