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find the gfc of 15q plus 6
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GPT-4o mini
To find the greatest common factor (GCF) of the expression \(15q + 6\), we can factor out the common factors in the coefficients of the terms.
1. Identify the coefficients: The coefficients are 15 (from \(15q\)) and 6 (from the constant term).
2. Find the GCF of 15 and 6:
- The factors of 15 are: 1, 3, 5, 15
- The factors of 6 are: 1, 2, 3, 6
- The common factors are: 1, 3
- The greatest of these is 3.
3. Now, factor out the GCF (which is 3) from the expression:
\[
15q + 6 = 3(5q + 2)
\]
Thus, the GCF of the expression \(15q + 6\) is \(3\), and the factored form is \(3(5q + 2)\).
1. Identify the coefficients: The coefficients are 15 (from \(15q\)) and 6 (from the constant term).
2. Find the GCF of 15 and 6:
- The factors of 15 are: 1, 3, 5, 15
- The factors of 6 are: 1, 2, 3, 6
- The common factors are: 1, 3
- The greatest of these is 3.
3. Now, factor out the GCF (which is 3) from the expression:
\[
15q + 6 = 3(5q + 2)
\]
Thus, the GCF of the expression \(15q + 6\) is \(3\), and the factored form is \(3(5q + 2)\).
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