Resources

Resources

Bytelearn - cat image with glasses

AI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the greatest common factor. $\newline$ $6p^2$ , $3p^3$ $\newline$ 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

6p^2

,

3p^3

\newline

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

\newline

______

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

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 2 months 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 3 months ago

Question

\newline

k^2 + 9k + 18

\newline

Posted 2 months ago

Question

\newline

9j^2 - 16

\newline

Posted 2 months ago

Question

\newline

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

Posted 3 months ago

Question

x^4 + 6x^2 + 9

\newline

All factors in your answer should have integer coefficients.

\newline

Posted 3 months ago

Question

\newline

z^2 + 13z + 22

\newline

Posted 2 months ago

Question

Simplify the expression:

\newline

5x + 9x - 4x - 2x

\newline

Posted 4 months ago

Question

3 - 3^2

Posted 4 months ago

Question

5 - 5^2

Posted 2 months ago