Calculate the Greatest Common Factor or GCF of 72 and 3472
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The instructions to find the GCF of 72 and 3472 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
3472 | 2 |
1736 | 2 |
868 | 2 |
434 | 2 |
217 | 7 |
31 | 31 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 3472 | = | 24 . 7 . 31 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 23
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 = 23 = 8
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