To find the greatest common factor (GCF) of the expression \( 15q + 6 \), we need to identify the common factors of the coefficients of the terms in the expression.
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Identify the coefficients:
- The coefficient of \( 15q \) is 15.
- The coefficient of 6 is 6.
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Find 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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Greatest common factor:
- The greatest common factor is \( 3 \).
Thus, the GCF of \( 15q + 6 \) is \( \boxed{3} \).