Calculate the Greatest Common Factor or GCF of 72 and 3036
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The instructions to find the GCF of 72 and 3036 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3036 | 2 |
1518 | 2 |
759 | 3 |
253 | 11 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3036 | = | 22 . 3 . 11 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2 , 3
Common prime factors with the lowest exponent: 22, 31
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. 31 = 12
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