Factor 18m-24n using the GCF
To factor 18m - 24n using the greatest common factor (GCF), we can look for the largest number that divides both coefficients, 18 and 24, as well as any variables that are raised to a power in both terms.
The GCF of 18 and 24 is 6. The variable m is raised to the power of 1 in the first term, and n is raised to the power of 1 in the second term. So, the GCF of m and n is 1.
Therefore, the GCF of 18m and 24n is 6.
To factor out the GCF, we divide each term by 6:
(18m)/6 = 3m
(24n)/6 = 4n
Therefore, 18m - 24n can be factored as:
6(3m - 4n)