Question
Find the GCF of 18j+27 .(1 point) Responses 54 54 3 3 9 9 18
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(18j + 27\), we first need to determine the GCF of the coefficients 18 and 27.
1. **Factor 18 and 27:**
- \(18 = 2 \times 3^2\)
- \(27 = 3^3\)
2. **Find common factors:**
- The common factor is \(3\).
3. **GCF:**
- The GCF of 18 and 27 is \(9\) (the highest power of the common factor, which is \(3^2\) in the case of 18).
Now, we can conclude that the GCF of \(18j + 27\) is \(9\).
So the correct answer is **9**.
1. **Factor 18 and 27:**
- \(18 = 2 \times 3^2\)
- \(27 = 3^3\)
2. **Find common factors:**
- The common factor is \(3\).
3. **GCF:**
- The GCF of 18 and 27 is \(9\) (the highest power of the common factor, which is \(3^2\) in the case of 18).
Now, we can conclude that the GCF of \(18j + 27\) is \(9\).
So the correct answer is **9**.