Calculate the Greatest Common Factor or GCF of 52 and 1582
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The instructions to find the GCF of 52 and 1582 are the next:
1. Decompose all numbers into prime factors
52 | 2 |
26 | 2 |
13 | 13 |
1 |
1582 | 2 |
791 | 7 |
113 | 113 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 52 | = | 22 . 13 |
Prime factors of 1582 | = | 2 . 7 . 113 |
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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