Factor 24n−32 using the GCF.
To factor 24n - 32 using the Greatest Common Factor (GCF), we first need to find the GCF of the two terms. The GCF of 24n and 32 is 8.
So, we can rewrite 24n - 32 as:
8(3n - 4)
To factor 24n - 32 using the GCF (Greatest Common Factor), we need to first find the GCF of the two terms.
Let's list the factors of 24 and 32:
Factors of 24: 1, 2, 3, 4, 6, 8, 12, 24
Factors of 32: 1, 2, 4, 8, 16, 32
The GCF is the largest common factor of the two numbers, which is 8.
Now we can divide both terms by the GCF:
(24n/8) - (32/8)
Simplifying the expression, we get:
3n - 4
Therefore, the factored form of 24n - 32 using the GCF is 3n - 4.
To factor the expression 24n - 32 using the Greatest Common Factor (GCF) method, we need to find the largest common factor between the two terms.
Step 1: Find the GCF of the coefficients.
The coefficient of 24n is 24, and the coefficient of -32 is -32.
The factors of 24 are 1, 2, 3, 4, 6, 8, 12, and 24.
The factors of 32 are 1, 2, 4, 8, 16, and 32.
The largest common factor between 24 and 32 is 8.
Step 2: Find the GCF of the variables.
The variable in both terms is n.
Since there is no other variable to consider, the GCF of the variables is simply n.
Step 3: Combine the GCFs.
The GCF of the coefficients is 8, and the GCF of the variables is n.
Therefore, the GCF of the expression 24n - 32 is 8n.
Step 4: Use the GCF to factor the expression.
To factor the expression 24n - 32 using the GCF, divide each term by the GCF.
(24n - 32) / (8n) = (8n(3) - 8(4)) / (8n)
Simplifying further,
= (3n - 4)
Therefore, the factored form of 24n - 32 using the GCF is 8n(3n - 4).