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Find the greatest common factor of 44,12 , and 28 .

Find the greatest common factor of $44$ , $12$ , and $28$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

44

,

12

, and

28

.

Factors of $44$ : List the factors of $44$ . $\newline$ To find the factors of $44$ , we look for pairs of numbers that multiply to give $44$ . $\newline$ $1 \times 44 = 44$ $\newline$ $2 \times 22 = 44$ $\newline$ $4 \times 11 = 44$ $\newline$ Factors of $44$ : $1, 2, 4, 11, 22, 44$
Factors of $12$ : List the factors of $12$ . $\newline$ To find the factors of $12$ , we look for pairs of numbers that multiply to give $12$ . $\newline$ $1 \times 12 = 12$ $\newline$ $2 \times 6 = 12$ $\newline$ $3 \times 4 = 12$ $\newline$ Factors of $12$ : $1, 2, 3, 4, 6, 12$
Factors of $28$ : List the factors of $28$ . $\newline$ To find the factors of $28$ , we look for pairs of numbers that multiply to give $28$ . $\newline$ $1 \times 28 = 28$ $\newline$ $2 \times 14 = 28$ $\newline$ $4 \times 7 = 28$ $\newline$ Factors of $28$ : $1, 2, 4, 7, 14, 28$
Common Factors of $44$ , $12$ , and $28$ : Identify the common factors of $44$ , $12$ , and $28$ . $\newline$ We look for factors that are present in all three lists. $\newline$ Factors of $44$ : $1$ , $2$ , $4$ , $12$ $0$ , $12$ $1$ , $44$ $\newline$ Factors of $12$ : $1$ , $2$ , $12$ $6$ , $4$ , $12$ $8$ , $12$ $\newline$ Factors of $28$ : $1$ , $2$ , $4$ , $28$ $4$ , $28$ $5$ , $28$ $\newline$ The common factors are $1$ , $2$ , and $4$ .
Greatest Common Factor (GCF) of $44$ , $12$ , and $28$ : Find the Greatest Common Factor (GCF) of $44$ , $12$ , and $28$ . $\newline$ The common factors of $44$ , $12$ , and $28$ are $1$ , $12$ $0$ , and $12$ $1$ . The greatest of these is $12$ $1$ . $\newline$ GCF of $44$ , $12$ , and $28$ : $12$ $1$

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