To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we first identify the coefficients of the terms.
-
The coefficients are 18 and 27.
-
The GCF of 18 and 27 can be found by listing their factors:
- Factors of 18: 1, 2, 3, 6, 9, 18
- Factors of 27: 1, 3, 9, 27
-
The common factors are 1, 3, and 9. Thus, the greatest common factor is 9.
Next, we can also factor out the GCF from the expression:
\[ 18j + 27 = 9(2j + 3) \]
Therefore, the GCF of \( 18j + 27 \) is 9.