Factor 18 M - 24 n using the Gcf
To factor 18M - 24n using the greatest common factor (GCF), we first need to determine the GCF of 18 and 24. In this case, the GCF is 6.
Next, we divide each term by the GCF:
18M ÷ 6 = 3M
24n ÷ 6 = 4n
The factored expression is: 6(3M - 4n)
To factor the expression 18M - 24n using the GCF (Greatest Common Factor), we first need to find the GCF of the two terms.
The prime factorization of 18 is 2 * 3 * 3, and the prime factorization of 24 is 2 * 2 * 2 * 3.
To find the GCF, we look for the highest exponent of each prime factor that appears in both numbers. In this case, the highest exponent for 2 is 3 (since 2 * 2 * 2 = 8), and the highest exponent for 3 is 1.
So the GCF of 18 and 24 is 2 * 3 = 6.
Now, let's factor out the GCF:
18M - 24n = 6(3M - 4n)
Therefore, the expression 18M - 24n can be factored as 6(3M - 4n).
To factor out the greatest common factor (GCF) from an expression, follow these steps:
Step 1: Find the GCF of the coefficients.
In this case, the coefficients are 18 and 24. To find the GCF, list the factors of both numbers and identify the largest common factor.
Factors of 18: 1, 2, 3, 6, 9, 18
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
The largest common factor is 6.
Step 2: Divide each term by the GCF.
Divide each term in the expression by the GCF.
18 M ÷ 6 = 3 M
-24 n ÷ 6 = -4 n
Step 3: Write the result as the product of the GCF and the factored expression.
The factored expression is the GCF multiplied by the simplified terms from step 2.
The factored expression of 18 M - 24 n is:
6(3 M - 4 n)