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Mathematics
Find the greatest common factor of 6 n 2 6n^(2) and 13 n 3 13n^(3).
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To find the greatest common factor (GCF) of 6 n 2 6n^(2) and 13 n 3 13n^(3), we need to find the largest expression that divides both 6 n 2 6n^(2) and 13 n 3 13n^(3) evenly.
First, we can take the greatest common factor of the coefficients ( 6 6 and 13 13), which is 1 1. Then, we can look at the variables. Both terms have an n 2 n^(2) factor, so the GCF contains an n 2 n^(2). However, the second term also has an additional factor of n n, so the GCF should have only one factor of n n.
Therefore, the GCF is n 2 n^(2):
GCF ( 6 n 2 , 13 n 3 ) = n 2 "GCF"(6n^(2),13n^(3))=n^(2)
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