Find the GCF of 30m + 12n

Question

.(1 point)

Answer 1

To find the greatest common factor (GCF) of the expression \(30m + 12n\), we first look for the GCF of the coefficients 30 and 12.

1. Determine the factors of each coefficient:

   • Factors of 30: \(1, 2, 3, 5, 6, 10, 15, 30\)
   • Factors of 12: \(1, 2, 3, 4, 6, 12\)

2. Identify the common factors:

   • Common factors of 30 and 12: \(1, 2, 3, 6\)

3. The greatest of these common factors is 6.

Now, since the terms in \(30m + 12n\) do not share any variable factors, the GCF of the entire expression is \(6\).

Therefore, the GCF of \(30m + 12n\) is 6.