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Find the greatest common factor of 8,18 , and 70 .

Find the greatest common factor of $8$ , $18$ , and $70$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

8

,

18

, and

70

.

Factors of $8$ : List the factors of $8$ . $\newline$ To find the factors of $8$ , we look for numbers that divide $8$ without leaving a remainder. $\newline$ $1 \times 8 = 8$ $\newline$ $2 \times 4 = 8$ $\newline$ Factors of $8$ : $1, 2, 4, 8$
Factors of $18$ : List the factors of $18$ . $\newline$ To find the factors of $18$ , we look for numbers that divide $18$ without leaving a remainder. $\newline$ $1 \times 18 = 18$ $\newline$ $2 \times 9 = 18$ $\newline$ $3 \times 6 = 18$ $\newline$ Factors of $18$ : $1, 2, 3, 6, 9, 18$
Factors of $70$ : List the factors of $70$ . $\newline$ To find the factors of $70$ , we look for numbers that divide $70$ without leaving a remainder. $\newline$ $1 \times 70 = 70$ $\newline$ $2 \times 35 = 70$ $\newline$ $5 \times 14 = 70$ $\newline$ $7 \times 10 = 70$ $\newline$ Factors of $70$ : $1, 2, 5, 7, 10, 14, 35, 70$
Common factors of $8$ , $18$ , and $70$ : Identify the common factors of $8$ , $18$ , and $70$ . $\newline$ We look for factors that are common to all three numbers. $\newline$ Factors of $8$ : $1$ , $2$ , $4$ , $8$ $\newline$ Factors of $18$ : $1$ , $2$ , $18$ $4$ , $18$ $5$ , $18$ $6$ , $18$ $\newline$ Factors of $70$ : $1$ , $2$ , $70$ $1$ , $70$ $2$ , $70$ $3$ , $70$ $4$ , $70$ $5$ , $70$ $\newline$ The common factors are numbers that are factors of $8$ , $18$ , and $70$ . $\newline$ Common factors of $8$ , $18$ , and $70$ : $1$ , $2$
Greatest Common Factor (GCF) of $8$ , $18$ , and $70$ : Find the Greatest Common Factor (GCF) of $8$ , $18$ , and $70$ . $\newline$ The common factors of $8$ , $18$ , and $70$ are $1$ and $18$ $0$ . $\newline$ $18$ $0$ is greater than $1$ . $\newline$ GCF of $8$ , $18$ , and $70$ : $18$ $0$

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