Calculate the Greatest Common Factor or GCF of 24, 54, 76 and 92
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The instructions to find the GCF of 24, 54, 76 and 92 are the next:
1. Decompose all numbers into prime factors
24 | 2 |
12 | 2 |
6 | 2 |
3 | 3 |
1 |
54 | 2 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
76 | 2 |
38 | 2 |
19 | 19 |
1 |
92 | 2 |
46 | 2 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 24 | = | 23 . 3 |
Prime factors of 54 | = | 2 . 33 |
Prime factors of 76 | = | 22 . 19 |
Prime factors of 92 | = | 22 . 23 |
3. Choose the common prime factors with the lowest exponent
Common prime factors: 2
Common prime factors with the lowest exponent: 21
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 = 2
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