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
35y^(4),14y^(4), and
63y^(4) ?

What is the greatest common factor of $35 y^{4}, 14 y^{4}$ , and $63 y^{4}$ ?

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

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

, and

63 y^{4}

?

List prime factors: List the prime factors of each number without the variable part. $\newline$ Prime factors of $35$ : $5 \times 7$ $\newline$ Prime factors of $14$ : $2 \times 7$ $\newline$ Prime factors of $63$ : $3 \times 3 \times 7$
Identify common factors: Identify the common prime factors from the prime factorization of the numbers. $\newline$ The common prime factor is $7$ .
Include variable part: Since the variable part is the same for all terms $y^{4}$ , we include it in the GCF. $\newline$ The variable part is $y^{4}$ .
Multiply to find GCF: Multiply the common prime factor by the variable part to find the GCF. $\newline$ GCF = $7 \times y^{4}$
Verify GCF: Verify that the GCF is indeed a factor of all three terms. $\newline$ $\frac{35y^{4}}{7y^{4}} = 5y^{0} = 5$ $\newline$ $\frac{14y^{4}}{7y^{4}} = 2y^{0} = 2$ $\newline$ $\frac{63y^{4}}{7y^{4}} = 9y^{0} = 9$ $\newline$ Since all results are whole numbers, the GCF is correct.

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

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

Question

You pick a card at random, put it back, and then pick another card at random.

\newline

4

\newline

5

\newline

6

\newline

7

\newline

What is the probability of picking a number greater than

5

and then picking a

4

\newline

Write your answer as a percentage.

Posted 1 month ago

Related topics

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