Calculate the Greatest Common Factor or GCF of 128 and 240
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The instructions to find the GCF of 128 and 240 are the next:
1. Decompose all numbers into prime factors
128 | 2 |
64 | 2 |
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
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 128 | = | 27 |
Prime factors of 240 | = | 24 . 3 . 5 |
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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