To find the greatest common factor (GCF) of the expression \(15q + 6\), we start by determining the GCF of the numerical coefficients (15 and 6).
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Identify the factors:
- The factors of 15 are: \(1, 3, 5, 15\)
- The factors of 6 are: \(1, 2, 3, 6\)
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Determine the common factors:
- The common factors of 15 and 6 are: \(1, 3\)
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Select the greatest common factor:
- The greatest of these common factors is \(3\).
Next, we can factor out the GCF from the expression:
\[ 15q + 6 = 3(5q + 2) \]
Thus, the GCF of \(15q + 6\) is \(\boxed{3}\).