Calculate the Greatest Common Factor or GCF of 768
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The instructions to find the GCF of 768 are the next:
1. Decompose all numbers into prime factors
768 | 2 |
384 | 2 |
192 | 2 |
96 | 2 |
48 | 2 |
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 768 | = | 28 . 3 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 28, 31
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 = 28. 31 = 768
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