Calculate the Greatest Common Factor or GCF of 288, 432 and 486
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The instructions to find the GCF of 288, 432 and 486 are the next:
1. Decompose all numbers into prime factors
288 | 2 |
144 | 2 |
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
432 | 2 |
216 | 2 |
108 | 2 |
54 | 2 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
486 | 2 |
243 | 3 |
81 | 3 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 288 | = | 25 . 32 |
Prime factors of 432 | = | 24 . 33 |
Prime factors of 486 | = | 2 . 35 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 21, 32
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. 32 = 18
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