Calculate the Greatest Common Factor or GCF of 52 and 2574
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The instructions to find the GCF of 52 and 2574 are the next:
1. Decompose all numbers into prime factors
52 | 2 |
26 | 2 |
13 | 13 |
1 |
2574 | 2 |
1287 | 3 |
429 | 3 |
143 | 11 |
13 | 13 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 52 | = | 22 . 13 |
Prime factors of 2574 | = | 2 . 32 . 11 . 13 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 13
Common prime factors with the lowest exponent: 21, 131
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. 131 = 26
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