Find the GCF of 18j+27 .(1 point) Responses 3 3 18 18 9 9 54

Answer 1

To find the greatest common factor (GCF) of the expression \(18j + 27\), we can factor each term.

1. Factor 18 and 27:

   • The prime factorization of 18 is \(2 \times 3^2\).
   • The prime factorization of 27 is \(3^3\).

2. Now, the factors of each number:

   • For 18: \(1, 2, 3, 6, 9, 18\)
   • For 27: \(1, 3, 9, 27\)

3. Identify the common factors: \(1, 3, 9\)

4. The greatest of these common factors is \(9\).

Thus, the GCF of \(18j + 27\) is 9.