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Q25.

Expert-verified

Pre-algebra

Found in: Page 179

Book edition Common Core Edition

Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff

Pages 183 pages

ISBN 9780547587776

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Short Answer

Find the GCF. Also, Find whether the numbers are relatively prime or not : $121, 280$

The GCF is $1$ . It is a relatively prime number.

See the step by step solution

Step by Step Solution

TABLE OF CONTENTS :

TABLE OF CONTENTS

Step -1 - Apply the concept of GCF and relatively Prime

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 and also know the concept of relatively prime that means those whose have a only factor $1$ not other than any other.

Step -2 – Find the common factors

Here, the numbers are $121, 280$ .

First finding the factors of numbers.

The factor of $121$ is $121 = 11 \times 11$

The factor of $280$ is $280 = 7 \times 2 \times 2 \times 2 \times 5$

Step -3 – Finding the GCF and know whether it is relatively prime or not

Now, the common factor among the numbers are $1$ .

So, the greatest common factor is $1$ .

Since, the two numbers have HCF of $1$ , therefore they are relatively prime.

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