Factor 18m − 24n using the GCF. (1 point)
Responses
6(3m − 4n)
6 Left Parenthesis 3 m minus 4 n Right Parenthesis
9(2m − 3n)
9 Left Parenthesis 2 m minus 3 n Right Parenthesis
3(6m − 12n)
3 Left Parenthesis 6 m minus 12 n Right Parenthesis
2(9m − 12n)
6(3m − 4n)
To factor 18m - 24n using the greatest common factor (GCF), you need to find the largest common factor of both terms, which is 6. Divide both terms by 6:
(18m / 6) - (24n / 6) = 3m - 4n
Therefore, the factored form of 18m - 24n using the GCF is 6(3m - 4n).
To factor 18m - 24n using the Greatest Common Factor (GCF), you need to find the largest common factor of the two terms.
Step 1: Find the GCF of 18m and 24n.
The factors of 18m are: 1, 2, 3, 6, 9, 18, m, 2m, 3m, 6m, 9m, 18m.
The factors of 24n are: 1, 2, 3, 4, 6, 8, 12, 24, n, 2n, 3n, 4n, 6n, 8n, 12n, 24n.
The common factors of 18m and 24n are: 1, 2, 3, 6.
Step 2: Choose the largest common factor as the GCF.
The largest common factor is 6.
Step 3: Divide each term by the GCF (6) and write the GCF outside the parentheses.
(18m/6) - (24n/6)
Simplifying further:
3m - 4n
The correct answer is: 6(3m - 4n)