/*! 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} Q23. Find the greatest common factor ... [FREE SOLUTION] | 91影视

91影视

Log out

Learning Materials

Features

Discover

Chapter 4: Q23. (page 179)

Find the greatest common factor of the numbers. Then tell whether the numbers are relatively prime.

77, 51

Short Answer

Expert verified

The numbers are relatively prime andthere is no greatest common factor.

Step by step solution

01

Step-1 – Define greatest common factor

A common factor is a whole number that is a factor of two or more nonzero whole numbers. The greatest of the common factors is the greatest common factor (GCF).

Two or more numbers are relatively prime if their greatest common factor is 1.

02

Step-2 – Factor the numbers

Factor both the numbers 77 and 51.

The factors of 77 are: 77=7脳11

The factors of 51 are: 51=3脳17

03

Step-3 – State the conclusion

There are no common prime factors. However, two numbers always have 1 as a common factor. So, the GCF is 1, and the numbers are relatively prime.

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

Copy and complete the factor tree. Then write the prime factorization of the number.

Find the GCF. Also, Find whether the numbers are relatively prime or not :11,51

Write the prime factorization of the number

52.

Write all the factors of the number.

144

Describe how to write the prime factorization of a number.
See all solutions

Recommended explanations on Math Textbooks

Decision Maths

Read Explanation

Pure Maths

Read Explanation

Probability and Statistics

Read Explanation

Applied Mathematics

Read Explanation

Theoretical and Mathematical Physics

Read Explanation

Discrete Mathematics

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.