Questions: Find the greatest common factor of 16 x and 12 b^2.

Transcript text: Find the greatest common factor of $16 x$ and $12 b^{2}$.

Solution

Solution Steps

Step 1: Identify the coefficients

Find the greatest common factor (GCF) of the coefficients $16$ and $12$.
The factors of $16$ are $1, 2, 4, 8, 16$.
The factors of $12$ are $1, 2, 3, 4, 6, 12$.
The GCF of $16$ and $12$ is $4$.

Step 2: Identify the variables

Compare the variables $x$ and $b^{2}$.
The term $16x$ contains the variable $x$, and the term $12b^{2}$ contains the variable $b$.
Since $x$ and $b$ are different variables, they do not share a common factor.

Step 3: Combine the results

The GCF of $16x$ and $12b^{2}$ is the product of the GCF of the coefficients and the GCF of the variables.
Since the variables do not share a common factor, the GCF is $4$.

Final Answer

$\boxed{4}$

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