Calculate the Greatest Common Factor or GCF of 36288
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The instructions to find the GCF of 36288 are the next:
1. Decompose all numbers into prime factors
36288 | 2 |
18144 | 2 |
9072 | 2 |
4536 | 2 |
2268 | 2 |
1134 | 2 |
567 | 3 |
189 | 3 |
63 | 3 |
21 | 3 |
7 | 7 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 36288 | = | 26 . 34 . 7 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3 , 7
Common prime factors with the lowest exponent: 26, 34, 71
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 = 26. 34. 71 = 36288
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