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Find the greatest common factor of 36 and 60.

Find the greatest common factor of $36$ and $60$ .

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Greatest common factor

Full solution

Q. Find the greatest common factor of

36

and

60

.

List factors of $36$ : List the factors of $36$ . $\newline$ Factors of $36$ : $1$ , $2$ , $3$ , $4$ , $6$ , $9$ , $12$ , $18$ , $36$
List factors of $60$ : List the factors of $60$ . $\newline$ Factors of $60$ : $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $10$ , $12$ , $15$ , $20$ , $2$ $0$ , $2$ $1$
Identify common factors: Identify the common factors of $36$ and $60$ . $\newline$ Common factors of $36$ and $60$ : $1$ , $2$ , $3$ , $4$ , $6$ , $12$
Find Greatest Common Factor (GCF): Find the Greatest Common Factor (GCF) of $36$ and $60$ . $\newline$ The greatest number in the list of common factors is $12$ . $\newline$ GCF of $36$ and $60$ : $12$

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