gfc of 18j plus 27

To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we can start by factoring out the common factors in the terms.

1. Identify the coefficients: The coefficients are 18 and 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 greatest common factor is \( 9 \).

3. Now, factor out the GCF from the expression \( 18j + 27 \):

   \[ 18j + 27 = 9(2j + 3) \]

So the GCF of the expression \( 18j + 27 \) is \( 9 \), and the expression can be factored as \( 9(2j + 3) \).