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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

282
142
77
1
322
162
82
42
22
1
542
273
93
33
1
922
462
2323
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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