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Find the greatest common factor of 75,8 , and 21 .

Find the greatest common factor of $75$ , $8$ , and $21$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

75

,

8

, and

21

.

Factors of $75$ : List the factors of $75$ . $\newline$ $1 \times 75 = 75$ $\newline$ $3 \times 25 = 75$ $\newline$ $5 \times 15 = 75$ $\newline$ Factors of $75$ : $1$ , $3$ , $5$ , $15$ , $25$ , $75$
Factors of $8$ : List the factors of $8$ . $\newline$ $1 \times 8 = 8$ $\newline$ $2 \times 4 = 8$ $\newline$ Factors of $8$ : $1$ , $2$ , $4$ , $8$
Factors of $21$ : List the factors of $21$ . $\newline$ $1 \times 21 = 21$ $\newline$ $3 \times 7 = 21$ $\newline$ Factors of $21$ : $1$ , $3$ , $7$ , $21$
Common Factors of $75$ , $8$ , and $21$ : Identify the common factors of $75$ , $8$ , and $21$ . $\newline$ Factors of $75$ : $1$ , $3$ , $5$ , $15$ , $25$ , $75$ $\newline$ Factors of $8$ : $1$ , $8$ $2$ , $8$ $3$ , $8$ $\newline$ Factors of $21$ : $1$ , $3$ , $8$ $8$ , $21$ $\newline$ The only common factor among $75$ , $8$ , and $21$ is $1$ .
Greatest Common Factor (GCF) of $75$ , $8$ , and $21$ : Determine the greatest common factor (GCF) of $75$ , $8$ , and $21$ . $\newline$ Since the only common factor is $1$ , the GCF of $75$ , $8$ , and $21$ is $1$ .

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