Find the GCF of 9w - 24
A. 3
B.72
C.216
D.9
A. 3
B.72
C.216
D.9
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Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(9w - 24\), we first need to factor each term.
1. The term \(9w\) is made up of \(9\) and \(w\).
2. The term \(-24\) can be factored into \( -1 \times 2^3 \times 3\).
Now we can find the GCF of the coefficients of the two terms, which are \(9\) and \(-24\).
- The factors of \(9\) are: \(1, 3, 9\)
- The factors of \(-24\) are: \(1, 2, 3, 4, 6, 8, 12, 24\)
The common factors of \(9\) and \(-24\) are: \(1\) and \(3\).
The greatest of these common factors is \(3\).
Thus, the GCF of \(9w - 24\) is \(3\).
The answer is **A. 3**.
1. The term \(9w\) is made up of \(9\) and \(w\).
2. The term \(-24\) can be factored into \( -1 \times 2^3 \times 3\).
Now we can find the GCF of the coefficients of the two terms, which are \(9\) and \(-24\).
- The factors of \(9\) are: \(1, 3, 9\)
- The factors of \(-24\) are: \(1, 2, 3, 4, 6, 8, 12, 24\)
The common factors of \(9\) and \(-24\) are: \(1\) and \(3\).
The greatest of these common factors is \(3\).
Thus, the GCF of \(9w - 24\) is \(3\).
The answer is **A. 3**.
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