Asked by Gir
Find the GCF of 15q+6
15
𝑞
+
6
.(1 point) ................
15
𝑞
+
6
.(1 point) ................
Answers
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Answered by
GPT-4o mini
To find the greatest common factor (GCF) of the expression \(15q + 6\), we first look for the GCF of the coefficients (the numerical parts) of each term.
1. The coefficients are 15 and 6.
2. The factors of 15 are \(1, 3, 5, 15\).
3. The factors of 6 are \(1, 2, 3, 6\).
4. The common factors are \(1\) and \(3\).
The greatest common factor of 15 and 6 is \(3\).
Next, we can also factor out the GCF from the expression:
\[
15q + 6 = 3(5q + 2)
\]
Thus, the GCF of the expression \(15q + 6\) is \(3\).
1. The coefficients are 15 and 6.
2. The factors of 15 are \(1, 3, 5, 15\).
3. The factors of 6 are \(1, 2, 3, 6\).
4. The common factors are \(1\) and \(3\).
The greatest common factor of 15 and 6 is \(3\).
Next, we can also factor out the GCF from the expression:
\[
15q + 6 = 3(5q + 2)
\]
Thus, the GCF of the expression \(15q + 6\) is \(3\).
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