Chapter 8.4, Problem 48E

To determine

To find:

The greatest common factor of the given numbers.

Answer to Problem 48E

The greatest common factor of 121 and 132is $11$ .

Explanation of Solution

Given:

Twonumbers: $121,\text{132}$ .

Concept used:

To find Greatest common factors of two or more numbers, we find prime factors of each number and then multiply the common factors of each number.

When two or more numbers have no common factors, then 1 is the greatest common factor of the numbers.

Calculation:

First of all, we will find the prime factors of our given numbers as:

  $\begin{array}{l}\text{Prime factors of 121:}11\times 11\\ \text{Prime factors of 132:}11\times 12\end{array}$

Upon looking at prime factors of 121 and 132, we can see that the common factor of both numbers is $11$ .

Therefore, the greatest common factor of 121 and 132would be $11$ .