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Expert-verified Found in: Page 179 ### Pre-algebra

Book edition Common Core Edition
Author(s) Ron Larson, Laurie Boswell, Timothy D. Kanold, Lee Stiff
Pages 183 pages
ISBN 9780547587776 # 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 -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 $121=11×11$

The factor of $280$ is $280=7×2×2×2×5$

## 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. ### Want to see more solutions like these? 