\begin{tabular}{l} Question 9 of 12, Step 1 of 1 \ Find the GCF (greatest common factor) of the following terms. \ \hline Correct \ \hline$$ \left\{6 x y, 2 x^{3} y ight\} $$ \ \hline\end{tabular}

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\begin{tabular}{l} Question 9 of 12, Step 1 of 1 \ Find the GCF (greatest common factor) of the following terms. \ \hline Correct \ \hline$$ \left\{6 x y, 2 x^{3} yight\} $$ \ \hline\end{tabular}

UpStudy AI · Accepted Answer

To find the greatest common factor (GCF) of the terms $$6xy$$ and $$2x^3y$$, we will follow these steps:

1. **Identify the coefficients**: The coefficients of the terms are 6 and 2.
2. **Find the GCF of the coefficients**: The GCF of 6 and 2 is 2.
3. **Identify the variables**: The variables in the terms are $$x$$ and $$y$$.
4. **Find the GCF of the variables**:
   - For $$x$$: The first term has $$x^1$$ and the second term has $$x^3$$. The GCF is $$x^{\min(1, 3)} = x^1 = x$$.
   - For $$y$$: Both terms have $$y^1$$. The GCF is $$y^{\min(1, 1)} = y^1 = y$$.

5. **Combine the GCF of the coefficients and variables**: 
   $$
   \text{GCF} = 2xy
   $$

Thus, the GCF of the terms $$6xy$$ and $$2x^3y$$ is $$2xy$$.
The GCF of $$6xy$$ and $$2x^3y$$ is $$2xy$$.

\begin{tabular}{l} Question 9 of 12, Step 1 of 1 \\ Find the GCF (greatest common factor) of the following terms. \\ \hline Correct \\ \hline\( \left\{6 x y, 2 x^{3} y\right\} \) \\ \hline\end{tabular}

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