To determine the GCF (greatest common factor) of the expression \( 18j + 27 \), we first need to find the GCF of the coefficients of the terms involved.
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Identify the coefficients:
- The coefficient of the first term \( 18j \) is \( 18 \).
- The coefficient of the second term \( 27 \) is \( 27 \).
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Find the GCF of \( 18 \) and \( 27 \):
- The factors of \( 18 \) are: \( 1, 2, 3, 6, 9, 18 \).
- The factors of \( 27 \) are: \( 1, 3, 9, 27 \).
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Identify the common factors:
- The common factors of \( 18 \) and \( 27 \) are \( 1, 3, 9 \).
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Determine the GCF:
- The greatest of these common factors is \( 9 \).
Thus, the GCF of the expression \( 18j + 27 \) is \( 9 \).
So, the GCF of \( 18j + 27 \) is \( \boxed{9} \).