Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the greatest common factor. $\newline$ $6g^2, 10g^2$ $\newline$ Write your answer as a constant times a product of single variables raised to exponents. $\newline$ $\_\_$

View step-by-step help

View step-by-step help

GCF of monomials

Full solution

Q. Find the greatest common factor.

\newline

6g^2, 10g^2

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\_\_

Factorization of $6g^2$ : First find the complete factorization of $6g^2$ . $\newline$ $6 = 2 \times 3$ $\newline$ $g^2 = g \times g$ $\newline$ $6g^2 = 2 \times 3 \times g \times g$
Factorization of $10g^2$ : Now, find the complete factorization of $10g^2$ . $\newline$ $10 = 2 \times 5$ $\newline$ $g^2 = g \times g$ $\newline$ $10g^2 = 2 \times 5 \times g \times g$
Find Greatest Common Factor: We found: $\newline$ $6g^2 = 2 \times 3 \times g \times g$ $\newline$ $10g^2 = 2 \times 5 \times g \times g$ $\newline$ Find the greatest common factor of $6g^2$ and $10g^2$ . $\newline$ Common factors are $2$ , $g$ , and $g$ . $\newline$ $2 \times g \times g = 2g^2$ $\newline$ Greatest common factor: $2g^2$

More problems from GCF of monomials

Question

Find the greatest common factor.

\newline

9v^3, 6v^3

\newline

\newline

Write your answer as a constant times a product of single variables raised to exponents.

\newline

\underline{\hspace{1cm}}

Posted 1 month ago

Question

Factor out the greatest common factor. If the greatest common factor is

1

, just retype the polynomial.

\newline

6x^3 + 9x^2

\newline

Posted 2 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 1 month ago

Question

\newline

9j^2 - 16

\newline

Posted 1 month ago

Question

\newline

j^3 + 2j^2 + 5j + 10

Posted 2 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 2 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 1 month ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 3 months ago

Question

3 - 3^2

Posted 3 months ago

Question

5 - 5^2

Posted 1 month ago