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Find the greatest common factor of 50,25 , and 100.

Find the greatest common factor of $50$ , $25$ , and $100$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

50

,

25

, and

100

.

List Factors of $50$ : List the factors of $50$ . $\newline$ $1 \times 50 = 50$ $\newline$ $2 \times 25 = 50$ $\newline$ $5 \times 10 = 50$ $\newline$ Factors of $50$ : $1$ , $2$ , $5$ , $10$ , $25$ , $50$
List Factors of $25$ : List the factors of $25$ . $\newline$ $1 \times 25 = 25$ $\newline$ $5 \times 5 = 25$ $\newline$ Factors of $25$ : $1$ , $5$ , $25$
List Factors of $100$ : List the factors of $100$ . $\newline$ $1 \times 100 = 100$ $\newline$ $2 \times 50 = 100$ $\newline$ $4 \times 25 = 100$ $\newline$ $5 \times 20 = 100$ $\newline$ $10 \times 10 = 100$ $\newline$ Factors of $100$ : $1$ , $2$ , $4$ , $1 \times 100 = 100$ $0$ , $1 \times 100 = 100$ $1$ , $1 \times 100 = 100$ $2$ , $1 \times 100 = 100$ $3$ , $1 \times 100 = 100$ $4$ , $100$
Identify Common Factors: Identify the common factors of $50$ , $25$ , and $100$ . $\newline$ Factors of $50$ : $1$ , $2$ , $5$ , $10$ , $25$ , $50$ $\newline$ Factors of $25$ : $1$ , $5$ , $25$ $\newline$ Factors of $100$ : $1$ , $2$ , $25$ $7$ , $5$ , $10$ , $100$ $0$ , $25$ , $50$ , $100$ $\newline$ The common factors are $1$ , $5$ , and $25$ .
Find Greatest Common Factor: Find the greatest common factor (GCF) of $50$ , $25$ , and $100$ . The common factors are $1$ , $5$ , and $25$ . $25$ is the largest of the common factors. GCF of $50$ , $25$ , and $100$ : $25$

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