factor using gcf
24n-32
To factor 24n-32 using the greatest common factor (GCF), we need to find the largest number that evenly divides both 24n and 32.
The GCF of 24 and 32 is 8.
So, we can factor out 8 from both terms:
24n-32 = 8(3n-4)
To factor the expression 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.
Now we can rewrite 24n - 32 as:
8(3n - 4)
So, the factored form of 24n - 32 using the GCF is 8(3n - 4).
To factor the expression 24n-32 using the Greatest Common Factor (GCF), follow these steps:
Step 1: Find the GCF of the coefficients (24 and 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 common factors are: 1, 2, 4, and 8.
Therefore, the GCF of 24 and 32 is 8.
Step 2: Divide each term by the GCF: 8.
(24n) / 8 = 3n
(-32) / 8 = -4
Step 3: Write the expression using the GCF and the factored terms.
The factored expression is:
8(3n - 4)
Therefore, the factored form of 24n - 32 using the GCF is 8(3n - 4).