Resourcesdown chevron
Testimonials
Plans
Sign in
Sign up
Resourcesright arrow
Testimonials
Plans
Bytelearn - cat image with glassesAI tutor

Welcome to Bytelearn!

Let’s check out your problem:

Find the greatest common factor.\newline8q2,6q8q^2, 6q\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_

View step-by-step helpView step-by-step help
Homeright chevron icon
Math Problemsright chevron icon
Algebra 1right chevron icon
GCF of monomialsright chevron icon

Full solution

Q. Find the greatest common factor.\newline8q2,6q8q^2, 6q\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline__\_\_
  1. Factorization of 8q28q^2: First find the complete factorization of 8q28q^2.\newline8=2×2×28 = 2 \times 2 \times 2\newlineq2=q×qq^2 = q \times q\newline8q2=2×2×2×q×q8q^2 = 2 \times 2 \times 2 \times q \times q
  2. Factorization of 6q6q: Now, find the complete factorization of 6q6q.6=2×36 = 2 \times 3q=qq = q6q=2×3×q6q = 2 \times 3 \times q
  3. Find Greatest Common Factor: We found:\newline8q2=2×2×2×q×q8q^2 = 2 \times 2 \times 2 \times q \times q\newline6q=2×3×q6q = 2 \times 3 \times q\newlineFind the greatest common factor of 8q28q^2 and 6q6q.\newlineCommon factors are 22 and qq.\newline2×q=2q2 \times q = 2q\newlineGreatest common factor: 2q2q

More problems from GCF of monomials

Question
Find the greatest common factor.\newline9v3,6v39v^3, 6v^3\newline\newlineWrite your answer as a constant times a product of single variables raised to exponents.\newline‾\underline{\hspace{1cm}}
Get tutor helpright-arrow

Posted 5 months ago

Question
Factor out the greatest common factor. If the greatest common factor is 11, just retype the polynomial.\newline6x3+9x26x^3 + 9x^2\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Factor.\newlinek2+9k+18k^2 + 9k + 18\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Factor.\newline9j2−169j^2 - 16\newline______
Get tutor helpright-arrow

Posted 5 months ago

Question
Factor.\newlinej3+2j2+5j+10j^3 + 2j^2 + 5j + 10
Get tutor helpright-arrow

Posted 5 months ago

Question
Factor x4+6x2+9x^4 + 6x^2 + 9 completely.\newlineAll factors in your answer should have integer coefficients.\newline______
Get tutor helpright-arrow

Posted 9 months ago

Question
Factor.\newlinez2+13z+22z^2 + 13z + 22\newline______
Get tutor helpright-arrow

Posted 8 months ago

Question
Simplify the expression: \newline5x+9x−4x−2x5x + 9x - 4x - 2x \newline______
Get tutor helpright-arrow

Posted 10 months ago

Question
3−323 - 3^2
Get tutor helpright-arrow

Posted 10 months ago

Question
5−525 - 5^2
Get tutor helpright-arrow

Posted 7 months ago

View all (117)

Related topics

Algebra - Order of OperationsAlgebra - Distributive Property`X` and `Y` AxesGeometry - Scalene TriangleCommon MultipleGeometry - Quadrant