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What is the greatest common factor of $10$ , $6$ , 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

10

,

6

, and

14

?

\newline

_____

List Factors of $10$ : List the factors of $10$ . $\newline$ $1 \times 10 = 10$ $\newline$ $2 \times 5 = 10$ $\newline$ Factors of $10$ : $1$ , $2$ , $5$ , $10$
List Factors of $6$ : List the factors of $6$ . $\newline$ $1 \times 6 = 6$ $\newline$ $2 \times 3 = 6$ $\newline$ Factors of $6$ : $1$ , $2$ , $3$ , $6$
List Factors of $14$ : 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: Identify the common factors of $10$ , $6$ , and $14$ . $\newline$ Factors of $10$ : $1$ , $2$ , $5$ , $10$ $\newline$ Factors of $6$ : $1$ , $2$ , $6$ $1$ , $6$ $\newline$ Factors of $14$ : $1$ , $2$ , $6$ $6$ , $14$ $\newline$ Common factors: $1$ , $2$
Find GCF: Find the Greatest Common Factor (GCF). $\newline$ The common factors are $1$ and $2$ . $\newline$ $2$ is greater than $1$ . $\newline$ GCF of $10$ , $6$ , and $14$ : $2$

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