Concept explainers
To calculate: The greatest common factor of the numbers 12 and 18.
Answer to Problem 20OE
The greatest common factor of the numbers 12 and 18is 6.
Explanation of Solution
Given information:
The numbers 12 and 18.
Calculation:
Consider the provided numbers 12 and 18.
Recall that factors of a number are those numbers which when multiplied together result in that number.
12 is written as product of 1 and 12 that is
Also, 12 is written as product of 2 and 6 that is
Also, 12 is written as product of 3 and 4 that is
Therefore, factors of 12 are 1, 2, 3, 4, 6 and 12.
Now, 18 is written as product of 1 and 18 that is
Also, 18 is written as product of 2 and 9 that is
Also, 18 is written as product of 3 and 4 that is
Therefore, factors of 18 are 1, 2, 3, 6, 9 and 18
Now, the common factors are 1, 2, 3 and 6.
The greatest factor among all is 6.
Thus, the greatest common factor of the numbers 12 and 18is 6.
Chapter 5 Solutions
Algebra: Structure And Method, Book 1
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