factorr 18m-24n using GCF

To factor 18m - 24n using the Greatest Common Factor (GCF), we need to find the largest number or variable that divides both terms evenly.

Step 1: Determine the GCF of 18m and 24n.
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.
The common factors of both 18 and 24 are 1, 2, 3, and 6.

Step 2: Find the GCF of m and n.
Since m and n are different variables, there is no common factor other than 1.

Step 3: Determine the GCF of the coefficients (numbers in front of m and n).
The GCF of 18 and 24 is 6.

Therefore, the GCF of 18m and 24n is 6.

Step 4: Divide each term by the GCF.
18m / 6 = 3m
24n / 6 = 4n

Step 5: Write the result using GCF and the quotient of each term.
18m - 24n = 6(3m - 4n)

Therefore, 18m - 24n can be factored as 6(3m - 4n).