Calculate the Greatest Common Factor or GCF of 16, 168 and 266
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The instructions to find the GCF of 16, 168 and 266 are the next:
1. Decompose all numbers into prime factors
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
168 | 2 |
84 | 2 |
42 | 2 |
21 | 3 |
7 | 7 |
1 |
266 | 2 |
133 | 7 |
19 | 19 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 16 | = | 24 |
Prime factors of 168 | = | 23 . 3 . 7 |
Prime factors of 266 | = | 2 . 7 . 19 |
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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