Question
Find the greatest common factor.'
3g^2,6g^2
3g^2,6g^2
Answers
GPT-4o mini
To find the greatest common factor (GCF) of the expressions \(3g^2\) and \(6g^2\), we can break down each term into its factors.
1. For \(3g^2\):
- The factors are \(3\) and \(g^2\).
2. For \(6g^2\):
- The factors are \(6\), which can be expressed as \(2 \times 3\), and \(g^2\).
Now, we can identify the common factors:
- The numerical part: The GCF of \(3\) and \(6\) is \(3\).
- The variable part: The GCF of \(g^2\) and \(g^2\) is \(g^2\).
Now, we combine the GCFs:
\[
\text{GCF} = 3g^2
\]
Thus, the greatest common factor of \(3g^2\) and \(6g^2\) is \(\boxed{3g^2}\).
1. For \(3g^2\):
- The factors are \(3\) and \(g^2\).
2. For \(6g^2\):
- The factors are \(6\), which can be expressed as \(2 \times 3\), and \(g^2\).
Now, we can identify the common factors:
- The numerical part: The GCF of \(3\) and \(6\) is \(3\).
- The variable part: The GCF of \(g^2\) and \(g^2\) is \(g^2\).
Now, we combine the GCFs:
\[
\text{GCF} = 3g^2
\]
Thus, the greatest common factor of \(3g^2\) and \(6g^2\) is \(\boxed{3g^2}\).