To find the greatest common factor (GCF) of the expression \(18J + 27\), we first look for the GCF of the coefficients of the terms in the expression.
The coefficients are 18 and 27. We can find the GCF of these two numbers by listing their factors:
- The factors of 18 are: 1, 2, 3, 6, 9, 18
- The factors of 27 are: 1, 3, 9, 27
The common factors of 18 and 27 are 1, 3, and 9. The greatest of these is 9.
Now, we can factor out the GCF from the expression \(18J + 27\):
\[ 18J + 27 = 9(2J + 3) \]
Thus, the greatest common factor (GCF) of the expression \(18J + 27\) is \(9\).