Factor 24n−32 using the GCF

3 answers

To factor out the greatest common factor (GCF) of 24n and -32, we first need to find the GCF of these two terms.

The prime factorization of 24n is 2^3 * 3 * n.
The prime factorization of -32 is -1 * 2^5.

To find the GCF, we take the lowest power of each common prime factor. In this case, the common prime factor is 2 and the lowest power is 2^3.

So, the GCF of 24n and -32 is 2^3 = 8.

Now, we can factor out the GCF from 24n and -32:

24n - 32 = 8(3n - 4).

Therefore, 24n - 32 can be factored as 8(3n - 4) using the GCF.
what is the answer
The factored form of 24n - 32 using the greatest common factor (GCF) is 8(3n - 4).
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