To find the greatest common factor (GCF) of the expression \( 18j + 27 \), we first need to identify the coefficients of each term, which are 18 and 27.
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Find the GCF of the coefficients:
- 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 \( 9 \).
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Check GCF with variable: Since the GCF can include constants from both terms, we conclude that the GCF of \( 18j + 27 \) is \( 9 \).
Therefore, the correct response is:
9