/*! This file is auto-generated */ .wp-block-button__link{color:#fff;background-color:#32373c;border-radius:9999px;box-shadow:none;text-decoration:none;padding:calc(.667em + 2px) calc(1.333em + 2px);font-size:1.125em}.wp-block-file__button{background:#32373c;color:#fff;text-decoration:none} Q38. Find the greatest common factors... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q38. (page 179)

Find the greatest common factors of the monomials.

72a3b2,86a

Short Answer

Expert verified

The greatest common factors of the monomial is 2a.

Step by step solution

01

Step -1 - Apply the concept of   GCF.

In this, simply use the concept of finding the GCF by doing the factors of the number and find the factor which is common and greatest from them.

02

Step -2 – Find the common factors

Here, the monomials are 72a3b2,86a

First finding the factors of numbers.

The factor of 72 is 72=1,2,3,4,6,8,9,12,18,24,36,72

The factor of 86 is 86=1,2,43,86

Again, find the factors of variables

The factor of a3b2 is a3b2=a脳a脳a脳b脳b

The factor of a is a=1脳a

03

Step -3 – Finding the GCF 

Now, the common factor among the numbers are 2.

the common factor among the variables are a

So, the greatest common factor is 2a.

Unlock Step-by-Step Solutions & Ace Your Exams!

  • Full Textbook Solutions

    Get detailed explanations and key concepts

  • Unlimited Al creation

    Al flashcards, explanations, exams and more...

  • Ads-free access

    To over 500 millions flashcards

  • Money-back guarantee

    We refund you if you fail your exam.

Over 30 million students worldwide already upgrade their learning with 91影视!

One App. One Place for Learning.

All the tools & learning materials you need for study success - in one app.

Get started for free

Most popular questions from this chapter

Write the prime factorization of the number 125

Find the greatest common factors of the monomials. 18c,4c

Find the relationship between the resulting quotients when you divide two numbers by their greatest common factor.

Find the greatest common factors of the monomials.5m,20m3

Find the greatest common factors of the monomials.

7xy3,28xy2
See all solutions

Recommended explanations on Math Textbooks

Discrete Mathematics

Read Explanation

Logic and Functions

Read Explanation

Applied Mathematics

Read Explanation

Statistics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Geometry

Read Explanation
View all explanations

What do you think about this solution?

We value your feedback to improve our textbook solutions.

Study anywhere. Anytime. Across all devices.