Calculate the Greatest Common Factor or GCF of 1456 and 2528
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The instructions to find the GCF of 1456 and 2528 are the next:
1. Decompose all numbers into prime factors
1456 | 2 |
728 | 2 |
364 | 2 |
182 | 2 |
91 | 7 |
13 | 13 |
1 |
2528 | 2 |
1264 | 2 |
632 | 2 |
316 | 2 |
158 | 2 |
79 | 79 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 1456 | = | 24 . 7 . 13 |
Prime factors of 2528 | = | 25 . 79 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 24
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 = 24 = 16
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