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Find the greatest common factor of 80 and 20 .

Find the greatest common factor of $80$ and $20$ .

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Greatest common factor

Full solution

Q. Find the greatest common factor of

80

and

20

.

List Factors of $80$ : List the factors of $80$ . $\newline$ To find the factors of $80$ , we list all the numbers that can divide $80$ without leaving a remainder. $\newline$ $1 \times 80 = 80$ $\newline$ $2 \times 40 = 80$ $\newline$ $4 \times 20 = 80$ $\newline$ $5 \times 16 = 80$ $\newline$ $8 \times 10 = 80$ $\newline$ Factors of $80$ : $1, 2, 4, 5, 8, 10, 16, 20, 40, 80$
List Factors of $20$ : List the factors of $20$ . $\newline$ To find the factors of $20$ , we list all the numbers that can divide $20$ without leaving a remainder. $\newline$ $1 \times 20 = 20$ $\newline$ $2 \times 10 = 20$ $\newline$ $4 \times 5 = 20$ $\newline$ Factors of $20$ : $1$ , $2$ , $4$ , $20$ $0$ , $20$ $1$ , $20$
Identify Common Factors: Identify the common factors of $80$ and $20$ . $\newline$ We compare the factors of $80$ and $20$ to find the common factors. $\newline$ Factors of $80$ : $1$ , $2$ , $4$ , $5$ , $8$ , $20$ $0$ , $20$ $1$ , $20$ , $20$ $3$ , $80$ $\newline$ Factors of $20$ : $1$ , $2$ , $4$ , $5$ , $20$ $0$ , $20$ $\newline$ The common factors are: $1$ , $2$ , $4$ , $5$ , $20$ $0$ , $20$
Find Greatest Common Factor (GCF): Find the Greatest Common Factor (GCF) of $80$ and $20$ . $\newline$ From the list of common factors, we identify the largest number, which is the GCF. $\newline$ The common factors are $1$ , $2$ , $4$ , $5$ , $10$ , $20$ . $\newline$ $20$ is the largest common factor. $\newline$ GCF of $80$ and $20$ : $20$

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