Factor 18m - 24n using the GCF. (1 po
To find the GCF (Greatest Common Factor) of 18m and 24n, we need to determine the greatest common factor of their coefficients (18 and 24) and variables (m and n) separately.
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 18 and 24 are 1, 2, 3, and 6.
The variables m and n have no common factors other than 1.
So, the GCF of 18m and 24n is 6.
To factor out the GCF from 18m - 24n, we divide each term by the GCF:
18m / 6 = 3m
24n / 6 = 4n
Therefore, the expression 18m - 24n is equal to 6(3m - 4n).