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Find the greatest common factor of 56,28 , and 14 .

Find the greatest common factor of $56$ , $28$ , and $14$ .

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Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

56

,

28

, and

14

.

Factors of $56$ : List the factors of $56$ . $\newline$ To find the factors of $56$ , we list all the pairs of numbers that multiply to give $56$ . $\newline$ $1 \times 56 = 56$ $\newline$ $2 \times 28 = 56$ $\newline$ $4 \times 14 = 56$ $\newline$ $7 \times 8 = 56$ $\newline$ Factors of $56$ : $1, 2, 4, 7, 8, 14, 28, 56$
Factors of $28$ : List the factors of $28$ . $\newline$ To find the factors of $28$ , we list all the 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 $28$ : $1, 2, 4, 7, 14, 28$
Factors of $14$ : List the factors of $14$ . $\newline$ To find the factors of $14$ , we list all the pairs of numbers that multiply to give $14$ . $\newline$ $1 \times 14 = 14$ $\newline$ $2 \times 7 = 14$ $\newline$ Factors of $14$ : $1, 2, 7, 14$
Common factors of $56$ , $28$ , and $14$ : Identify the common factors of $56$ , $28$ , and $14$ . $\newline$ We look for the numbers that are factors of all three numbers. $\newline$ Common factors of $56$ , $28$ , and $14$ : $1$ , $28$ $0$ , $28$ $1$ , $28$ $2$ , $14$ , $28$
Greatest Common Factor (GCF) of $56$ , $28$ , and $14$ : Find the Greatest Common Factor (GCF) of $56$ , $28$ , and $14$ . $\newline$ The greatest number in the list of common factors is the GCF. $\newline$ GCF of $56$ , $28$ , and $14$ : $28$

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