Calculate the Greatest Common Factor or GCF of 128, 162 and 288
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The instructions to find the GCF of 128, 162 and 288 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 |
162 | 2 |
81 | 3 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
288 | 2 |
144 | 2 |
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 128 | = | 27 |
Prime factors of 162 | = | 2 . 34 |
Prime factors of 288 | = | 25 . 32 |
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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