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What is the greatest common factor of $12$ , $16$ , and $14$ ? $\newline$ _____

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Greatest common factor of three or four numbers

Full solution

Q. What is the greatest common factor of

12

,

16

, and

14

?

\newline

_____

List Factors of $12$ : Step $1$ : List the factors of $12$ . $\newline$ $1 \times 12 = 12$ $\newline$ $2 \times 6 = 12$ $\newline$ $3 \times 4 = 12$ $\newline$ Factors of $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$
List Factors of $16$ : Step $2$ : List the factors of $16$ . $\newline$ $1 \times 16 = 16$ $\newline$ $2 \times 8 = 16$ $\newline$ $4 \times 4 = 16$ $\newline$ Factors of $16$ : $1$ , $2$ , $4$ , $8$ , $16$
List Factors of $14$ : Step $3$ : List the factors of $14$ . $\newline$ $1 \times 14 = 14$ $\newline$ $2 \times 7 = 14$ $\newline$ Factors of $14$ : $1$ , $2$ , $7$ , $14$
Identify Common Factors: Step $4$ : Identify the common factors of $12$ , $16$ , and $14$ . $\newline$ Factors of $12$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$ $\newline$ Factors of $16$ : $1$ , $2$ , $4$ , $16$ $4$ , $16$ $\newline$ Factors of $14$ : $1$ , $2$ , $16$ $9$ , $14$ $\newline$ Common factors: $1$ , $2$
Find Greatest Common Factor: Step $5$ : Find the Greatest Common Factor (GCF). $\newline$ The common factors of $12$ , $16$ , and $14$ are $1$ and $2$ . $\newline$ $2$ is greater than $1$ . $\newline$ GCF of $12$ , $16$ , and $14$ : $2$

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