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Find the greatest common factor of 60 and 60.

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

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Greatest common factor

Full solution

Q. Find the greatest common factor of

60

and

60

.

List factors of first number: List the factors of the first number, which is $60$ . $\newline$ Factors of $60$ : $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $10$ , $12$ , $60$ $0$ , $60$ $1$ , $60$ $2$ , $60$
List factors of second number: List the factors of the second number, which is also $60$ . $\newline$ Since both numbers are the same, the factors of $60$ will be the same as listed in the previous step. $\newline$ Factors of $60$ : $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $10$ , $60$ $0$ , $60$ $1$ , $60$ $2$ , $60$ $3$ , $60$
Identify common factors: Identify the common factors of $60$ and $60$ . $\newline$ Since both lists are the same, all the factors listed are common. $\newline$ Common factors of $60$ and $60$ : $1$ , $2$ , $3$ , $4$ , $5$ , $6$ , $60$ $0$ , $60$ $1$ , $60$ $2$ , $60$ $3$ , $60$ $4$ , $60$
Find Greatest Common Factor (GCF): Find the Greatest Common Factor (GCF) of $60$ and $60$ . $\newline$ The greatest factor they have in common is the number itself, which is $60$ . $\newline$ GCF of $60$ and $60$ : $60$

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