Concept explainers
To calculate: The greatest common factor of the numbers 22 and 35.
Answer to Problem 21OE
The greatest common factor of the numbers 22 and 35is 1.
Explanation of Solution
Given information:
The numbers 22 and 35.
Calculation:
Consider the provided numbers 22 and 35.
Recall that factors of a number are those numbers which when multiplied together result in that number.
22 is written as product of 1 and 22 that is
Also, 22 is written as product of 2 and 11 that is
Therefore, factors of 22 are 1, 2, 11 and 22.
Now, 35 is written as product of 1 and 35 that is
Also, 35 is written as product of 5 and 7 that is
Therefore, factors of 35 are 1, 5, 7 and 35
Now, the common factor is 1.
The greatest factor among all is 1. They are relatively prime.
Thus, the greatest common factor of the numbers 22 and 35is 1.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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