To find the greatest common factor (GCF) of the expression \(18j + 27\), we need to factor both coefficients, \(18\) and \(27\).
First, let's find the factors:
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The factors of \(18\) are:
- \(1, 2, 3, 6, 9, 18\)
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The factors of \(27\) are:
- \(1, 3, 9, 27\)
The common factors of \(18\) and \(27\) are \(1, 3, 9\).
The greatest of these common factors is \(9\).
Thus, the GCF of the expression \(18j + 27\) is 9.