Calculate the Greatest Common Factor or GCF of 52 and 1920
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The instructions to find the GCF of 52 and 1920 are the next:
1. Decompose all numbers into prime factors
52 | 2 |
26 | 2 |
13 | 13 |
1 |
1920 | 2 |
960 | 2 |
480 | 2 |
240 | 2 |
120 | 2 |
60 | 2 |
30 | 2 |
15 | 3 |
5 | 5 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 52 | = | 22 . 13 |
Prime factors of 1920 | = | 27 . 3 . 5 |
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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