Calculate the Greatest Common Factor or GCF of 28, 32, 54 and 92
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The instructions to find the GCF of 28, 32, 54 and 92 are the next:
1. Decompose all numbers into prime factors
28 | 2 |
14 | 2 |
7 | 7 |
1 |
32 | 2 |
16 | 2 |
8 | 2 |
4 | 2 |
2 | 2 |
1 |
54 | 2 |
27 | 3 |
9 | 3 |
3 | 3 |
1 |
92 | 2 |
46 | 2 |
23 | 23 |
1 |
2. Write all numbers as the product of its prime factors
Prime factors of 28 | = | 22 . 7 |
Prime factors of 32 | = | 25 |
Prime factors of 54 | = | 2 . 33 |
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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