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Factor -24n-32 using the GCF
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GPT 3.5
To factor the expression -24n - 32 using the greatest common factor (GCF), we need to find the largest number or variable that divides both terms evenly.
First, let's find the GCF of -24n and -32.
The prime factors of -24n are -1, 2, 2, 2, and 3n.
The prime factors of -32 are -1, 2, 2, 2, and 2.
The GCF is the product of the common prime factors with the lowest exponents:
GCF = -1 * 2 * 2 * 2 = -8.
Now, we can rewrite the expression -24n - 32 as a product of the GCF and the factored expression:
-8(3n + 4).
First, let's find the GCF of -24n and -32.
The prime factors of -24n are -1, 2, 2, 2, and 3n.
The prime factors of -32 are -1, 2, 2, 2, and 2.
The GCF is the product of the common prime factors with the lowest exponents:
GCF = -1 * 2 * 2 * 2 = -8.
Now, we can rewrite the expression -24n - 32 as a product of the GCF and the factored expression:
-8(3n + 4).
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