Calculate the Greatest Common Factor or GCF of 72 and 2754
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The instructions to find the GCF of 72 and 2754 are the next:
1. Decompose all numbers into prime factors
72 | 2 |
36 | 2 |
18 | 2 |
9 | 3 |
3 | 3 |
1 |
2754 | 2 |
1377 | 3 |
459 | 3 |
153 | 3 |
51 | 3 |
17 | 17 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 72 | = | 23 . 32 |
Prime factors of 2754 | = | 2 . 34 . 17 |
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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