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Find the greatest common factor of 21 and 28.

Find the greatest common factor of $21$ and $28$ .

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Greatest common factor

Full solution

Q. Find the greatest common factor of

21

and

28

.

List Factors of $21$ : List the factors of $21$ . $\newline$ Factors of $21$ : $1$ , $3$ , $7$ , $21$
List Factors of $28$ : List the factors of $28$ . $\newline$ Factors of $28$ : $1$ , $2$ , $4$ , $7$ , $14$ , $28$
Identify Common Factors: Identify the common factors of $21$ and $28$ . $\newline$ Common factors of $21$ and $28$ : $1$ , $7$
Find Greatest Common Factor: Find the greatest common factor (GCF) of $21$ and $28$ . $\newline$ The greatest common factor is $7$ because it is the largest number that appears in both lists of factors.

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