Find the greatest common factor of 12n3 and 8a4.
Question
Find the greatest common factor of 12n3 and 8a4.
Solution
To find the greatest common factor (GCF) of two terms, you need to break down each term into its prime factors. However, in this case, the terms you provided (12n3 and 8a4) do not have any common factors because they contain different variables (n and a).
The GCF of the coefficients (the numbers before the variables) can be found as follows:
The prime factors of 12 are 2, 2, and 3. The prime factors of 8 are 2, 2, and 2.
The common prime factors are 2 and 2, so the GCF of the coefficients is 2*2 = 4.
However, since the variables are not the same, we cannot find a common factor that includes the variables. Therefore, the GCF of 12n3 and 8a4 is 4.
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