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What is the greatest common factor of $6$ , $9$ , and $12$ ? $\newline$ ____

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Greatest common factor of three or four numbers

Full solution

Q. What is the greatest common factor of

6

,

9

, and

12

?

\newline

____

List Factors of $6$ : List the factors of $6$ . $\newline$ Calculation: $1 \times 6 = 6$ , $2 \times 3 = 6$ $\newline$ Factors of $6$ : $1$ , $2$ , $3$ , $6$
List Factors of $\newline$ $9$ : List the factors of $\newline$ $9$ . $\newline$ Calculation: $\newline$ $1 \times 9 = 9$ , $\newline$ $3 \times 3 = 9$ $\newline$ Factors of $\newline$ $9$ : $\newline$ $1, 3, 9$
List Factors of $12$ : List the factors of $12$ . $\newline$ Calculation: $1 \times 12 = 12$ , $2 \times 6 = 12$ , $3 \times 4 = 12$ $\newline$ Factors of $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$
Identify Common Factors: Identify the common factors of $6$ , $9$ , and $12$ . $\newline$ Common factors: $1$ , $3$
Find GCF: Find the greatest common factor (GCF). $\newline$ The common factors are $1$ and $3$ ; $3$ is greater than $1$ . $\newline$ GCF of $6$ , $9$ , and $12$ : $3$

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