Calculate the Greatest Common Factor or GCF of 52 and 1540
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The instructions to find the GCF of 52 and 1540 are the next:
1. Decompose all numbers into prime factors
52 | 2 |
26 | 2 |
13 | 13 |
1 |
1540 | 2 |
770 | 2 |
385 | 5 |
77 | 7 |
11 | 11 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 52 | = | 22 . 13 |
Prime factors of 1540 | = | 22 . 5 . 7 . 11 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 22
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 = 22 = 4
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