what is the greatest common factor of 9 and 12? 3 9 36 108

QUESTION IMAGE

Question

what is the greatest common factor of 9 and 12?

3
9
36
108

Explanation:

Response

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List the factors of 9

Using the Factors knowledge point
\[
\text{Factors of } 9 = \{1, 3, 9\}
\]

List the factors of 12

Using the Factors knowledge point
\[
\text{Factors of } 12 = \{1, 2, 3, 4, 6, 12\}
\]

Identify the greatest common factor

Using the Greatest Common Factor knowledge point
\[

\begin{aligned} &\text{Common Factors} = \{1, 3\} \\ &\text{GCF}(9, 12) = 3 \end{aligned}

\]
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Answer: