Determine the GCF (greatest common factor) for the expression 18j+27

Question

.(1 point)
The GCF of 18j+27
is

Answer 1

To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we can look for the GCF of the coefficients of the terms.

1. Identify the coefficients:

   • The coefficient of \( 18j \) is 18.
   • The coefficient of the constant term 27 is 27.

2. Find the GCF of 18 and 27:

   • The factors of 18 are: \( 1, 2, 3, 6, 9, 18 \)
   • The factors of 27 are: \( 1, 3, 9, 27 \)
   • The common factors are \( 1, 3, 9 \), so the greatest common factor is \( 9 \).

Therefore, the GCF of \( 18j + 27 \) is \( \boxed{9} \).