Calculate the Greatest Common Factor or GCF of 392 and 648
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The instructions to find the GCF of 392 and 648 are the next:
1. Decompose all numbers into prime factors
392 | 2 |
196 | 2 |
98 | 2 |
49 | 7 |
7 | 7 |
1 |
648 | 2 |
324 | 2 |
162 | 2 |
81 | 3 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 392 | = | 23 . 72 |
Prime factors of 648 | = | 23 . 34 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 23
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 = 23 = 8
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