Calculate the Greatest Common Factor or GCF of 16, 76 and 264
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The instructions to find the GCF of 16, 76 and 264 are the next:
1. Decompose all numbers into prime factors
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
76 | 2 |
38 | 2 |
19 | 19 |
1 |
264 | 2 |
132 | 2 |
66 | 2 |
33 | 3 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 16 | = | 24 |
Prime factors of 76 | = | 22 . 19 |
Prime factors of 264 | = | 23 . 3 . 11 |
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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