What is the greatest common factor of 6 and 30?
Understand the Problem
The question is asking us to find the greatest common factor (GCF) of the numbers 6 and 30. To solve this, we would need to identify the factors of each number and determine the highest factor they share.
Answer
The greatest common factor (GCF) of 6 and 30 is $6$.
Answer for screen readers
The greatest common factor (GCF) of 6 and 30 is $6$.
Steps to Solve
-
Identify the Factors of Each Number
First, we need to find all the factors of 6. Factors of 6 are:
- 1
- 2
- 3
- 6
Next, we find all the factors of 30. Factors of 30 are:
- 1
- 2
- 3
- 5
- 6
- 10
- 15
- 30
-
List Common Factors
Now, we will compare the factors of both numbers and list the common factors. The common factors of 6 and 30 are:
- 1
- 2
- 3
- 6
-
Determine the Greatest Common Factor
From the list of common factors, we need to find the greatest one. The greatest common factor is 6.
The greatest common factor (GCF) of 6 and 30 is $6$.
More Information
The greatest common factor is an important concept in number theory used to simplify fractions, factor numbers, and solve problems involving divisibility. The GCF of two numbers can also help in finding the least common multiple (LCM).
Tips
- Forgetting to list all factors: Ensure you include every factor for both numbers.
- Not checking for the greatest factor: Sometimes students confuse common factors with just any factor.
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