Question
Find the GCF of 30m + 12n .(1 point)
The GCF of 30m and 12n is 6.
To find the Greatest Common Factor (GCF) of 30m + 12n, we need to determine the largest factor that both terms have in common.
Step 1: Look for common factors in the coefficients of the terms, which are 30 and 12.
The factors of 30 are 1, 2, 3, 5, 6, 10, 15, and 30.
The factors of 12 are 1, 2, 3, 4, 6, and 12.
Common factors are 1, 2, 3, and 6.
Step 2: Look for common factors in the variables of the terms, which are m and n.
Both terms have no common variables.
Step 3: Combine the common factors from Step 1 and Step 2.
The common factors of the coefficients are 1, 2, 3, and 6.
There are no common variables in the terms.
Therefore, the GCF of 30m + 12n is 6.
To find the greatest common factor (GCF) of 30m + 12n, we need to factor out common terms from each term in the expression.
First, let's look at the coefficients of the terms, which are 30 and 12. The GCF of 30 and 12 is 6.
Now let's consider the variables. The variable terms are m and n. Since they have different variables, we can't factor them out any further.
So the GCF of 30m + 12n is just the product of the GCF of the coefficients (6) and the variables (m and n): 6mn.
Therefore, the GCF of 30m + 12n is 6mn.