Factor 18m -24n using the GCF
The GCF (Greatest Common Factor) of 18m and -24n is 6.
To factor out the GCF, we divide each term by 6:
18m / 6 = 3m
-24n / 6 = -4n
Therefore, the factored form of 18m - 24n using the GCF is 6(3m - 4n).
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To factor the expression 18m - 24n using the greatest common factor (GCF), we first need to find the GCF of the two terms, 18m and 24n.
Step 1: Find the GCF of 18m and 24n.
The prime factorization of 18 is 2 * 3^2.
The prime factorization of 24 is 2^3 * 3.
So, the common factors of 18m and 24n are 2 and 3.
Step 2: Divide each term by the GCF.
Dividing 18m by 2 and 3, we get 9m.
Dividing 24n by 2 and 3, we get 4n.
Step 3: Write the factored expression.
The factored expression of 18m - 24n using the GCF is 2 * 3 * (9m - 4n).
Therefore, 18m - 24n = 6 * (9m - 4n).
To factorize the expression 18m - 24n using the GCF (Greatest Common Factor), we need to determine the largest common factor between the coefficients, 18 and 24, as well as the variables, m and n.
Step 1: Find the GCF of the coefficients
The factors of 18 are 1, 2, 3, 6, 9, and 18.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
Since the GCF should be the largest common factor, we see that the GCF of 18 and 24 is 6.
Step 2: Find the GCF of the variables
The variables in the expression are m and n. Since there are no common factors between them, the GCF of the variables is 1.
Step 3: Combine the GCF of the coefficients and the variables
The GCF of the coefficients is 6, and the GCF of the variables is 1. To factorize 18m - 24n, we can take out the GCF from each term:
18m - 24n = 6(3m - 4n)
So the factored form of 18m - 24n using the GCF is 6(3m - 4n).