Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

What is the greatest common factor of
8m^(2),4m, and
10m^(4) ?

What is the greatest common factor of $8 m^{2}, 4 m$ , and $10 m^{4}$ ?

View step-by-step help

View step-by-step help

Greatest common factor of three or four numbers

Full solution

Q. What is the greatest common factor of

8 m^{2}, 4 m

, and

10 m^{4}

?

List Prime Factors: List the prime factors of each term. $\newline$ For $8m^2$ , the prime factors are $2^3 \times m^2$ . $\newline$ For $4m$ , the prime factors are $2^2 \times m$ . $\newline$ For $10m^4$ , the prime factors are $2 \times 5 \times m^4$ .
Identify Common Factors: Identify the common prime factors. $\newline$ The common prime factors of $8m^2$ , $4m$ , and $10m^4$ are $2$ and $m$ , since these are the only prime factors that appear in all three terms.
Determine Lowest Power: Determine the lowest power of the common prime factors. $\newline$ The lowest power of $2$ that appears in all terms is $2^1$ (from $10m^4$ ). $\newline$ The lowest power of $m$ that appears in all terms is $m^1$ (from $4m$ ).
Find GCF: Multiply the common prime factors with their lowest powers to find the GCF. $\newline$ The GCF is $2^1 \times m^1$ , which simplifies to $2m$ .

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 2 months ago

Question

What is the greatest common factor of

2

14

\newline

Posted 2 months ago

Question

What is the least common multiple of

6

12

\newline

Posted 2 months ago

Question

Which numbers are factors of

20

? Select all that apply.

\newline

17

\newline

5

\newline

9

\newline

7

Posted 25 days 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 2 months ago

Question

What is the greatest common factor of

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

63 y^{4}

Posted 4 months ago

Question

What is the greatest common factor of

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

24 w^{4}

Posted 1 month ago

Question

Find the greatest common factor of

75

8

21

Posted 4 months ago

Question

Find the greatest common factor of

110

40

120

Posted 4 months ago

Question

What is the greatest common factor of

6 a, 8 a^{2}

14

Posted 4 months ago