Question
Find the GCF of 18j+27 .(1 point) Responses 54 54 9 9 3 3 18 18
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(18j + 27\), we first need to factor both terms:
1. The prime factorization of \(18\) is \(2 \times 3^2\).
2. The prime factorization of \(27\) is \(3^3\).
Now, let's find the GCF of the coefficients \(18\) and \(27\):
- The common prime factor is \(3\).
- The lowest power of \(3\) common to both factorizations is \(3^2\) from \(18\).
Therefore, the GCF of \(18\) and \(27\) is \(9\).
Thus, the GCF of the expression \(18j + 27\) is **9**.
1. The prime factorization of \(18\) is \(2 \times 3^2\).
2. The prime factorization of \(27\) is \(3^3\).
Now, let's find the GCF of the coefficients \(18\) and \(27\):
- The common prime factor is \(3\).
- The lowest power of \(3\) common to both factorizations is \(3^2\) from \(18\).
Therefore, the GCF of \(18\) and \(27\) is \(9\).
Thus, the GCF of the expression \(18j + 27\) is **9**.