Concept explainers
To calculate: The greatest common factor of the numbers 15 and 25.
Answer to Problem 19OE
The greatest common factor of the numbers 15 and 25 is 5.
Explanation of Solution
Given information:
The numbers 15 and 25.
Calculation:
Consider the provided numbers 15 and 25.
Recall that factors of a number are those numbers which when multiplied together result in that number.
15 is written as product of 3 and 5 that is
Also, 15 is written as product of 1 and 15 that is
Therefore, factors of 15 are 1, 3, 5 and 15.
Now, 25 is written as product of 5 and 5 that is
Also, 25 is written as product of 1 and 25 that is
Therefore, factors of 25 are 1, 5 and 25.
Now, the common factors are 1 and 5.
The greatest factor among all is 5.
Thus, the greatest common factor of the numbers 15 and 25 is 5.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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