Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the greatest common factor of 42,28 , and 70 .

Find the greatest common factor of $42$ , $28$ , and $70$ .

View step-by-step help

View step-by-step help

Greatest common factor of three or four numbers

Full solution

Q. Find the greatest common factor of

42

,

28

, and

70

.

Factors of $42$ : List the factors of $42$ . $\newline$ To find the factors of $42$ , we look for pairs of numbers that multiply to give $42$ . $\newline$ $1 \times 42 = 42$ $\newline$ $2 \times 21 = 42$ $\newline$ $3 \times 14 = 42$ $\newline$ $6 \times 7 = 42$ $\newline$ Factors of $42$ : $1, 2, 3, 6, 7, 14, 21, 42$
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 $28$ : $1, 2, 4, 7, 14, 28$
Factors of $70$ : List the factors of $70$ . $\newline$ To find the factors of $70$ , we look for pairs of numbers that multiply to give $70$ . $\newline$ $1 \times 70 = 70$ $\newline$ $2 \times 35 = 70$ $\newline$ $5 \times 14 = 70$ $\newline$ $7 \times 10 = 70$ $\newline$ Factors of $70$ : $1, 2, 5, 7, 10, 14, 35, 70$
Common Factors of $42$ , $28$ , and $70$ : Identify the common factors of $42$ , $28$ , and $70$ . $\newline$ We look for factors that are present in all three lists. $\newline$ Factors of $42$ : $1$ , $2$ , $3$ , $6$ , $7$ , $14$ , $28$ $0$ , $42$ $\newline$ Factors of $28$ : $1$ , $2$ , $28$ $5$ , $7$ , $14$ , $28$ $\newline$ Factors of $70$ : $1$ , $2$ , $70$ $2$ , $7$ , $70$ $4$ , $14$ , $70$ $6$ , $70$ $\newline$ The common factors are: $1$ , $2$ , $7$ , $14$
Greatest Common Factor (GCF) of $42$ , $28$ , and $70$ : Find the greatest common factor (GCF) of $42$ , $28$ , and $70$ . $\newline$ The greatest number in the list of common factors is $14$ . $\newline$ GCF of $42$ , $28$ , and $70$ : $14$

More problems from Greatest common factor of three or four numbers

Question

The Huffman Corporation would like to donate

15

20

printers to local schools. The corporation would like to make sure that each school receives the same set of computers and printers, with none left over. What is the greatest number of schools that The Huffman Corporation can donate to?

\newline

\_\_\_\_

Posted 8 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 8 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 8 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 7 months ago

Question

Kris is wrapping Christmas lights around the railing that runs around three sides of his square porch If one side of his porch is

12

feet long, and each strand of his Christmas lights will wrap around a

70

-inch length of the railing, what is the minimum number of strands Kris needs to completely wrap the porch railing?

\newline

6

\newline

7

\newline

8

\newline

9

Posted 8 months ago

Question

What is the greatest common factor of

35 y^{4}, 14 y^{4}

63 y^{4}

Posted 10 months ago

Question

What is the greatest common factor of

60 \mathrm{w}, 36 w^{2}

24 w^{4}

Posted 8 months ago

Question

Find the greatest common factor of

75

8

21

Posted 10 months ago

Question

Find the greatest common factor of

110

40

120

Posted 10 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 10 months ago

Related topics

Algebra - Order of Operations Algebra - Distributive Property `X` and `Y` Axes Geometry - Scalene Triangle Common Multiple Geometry - Quadrant