Concept explainers
To calculate: The greatest common factor of the numbers 23 and 46.
Answer to Problem 22OE
The greatest common factor of the numbers 23 and 46is 23.
Explanation of Solution
Given information:
The numbers 23 and 46.
Calculation:
Consider the provided numbers 23 and 46.
Recall that factors of a number are those numbers which when multiplied together result in that number.
23is written as product of 1 and 23 that is
Therefore, factors of 23 are 1 and 23.
Now, 46 is written as product of 1 and 46 that is
Also, 46 is written as product of 2 and 23 that is
Therefore, factors of 46 are 1, 2, 23 and 46.
Now, the common factors are 1 and 23.
The greatest factor among all is 23.
Thus, the greatest common factor of the numbers 23 and 46is 23.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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