What is the GCF of 6 and 20?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 6 and 20. To solve this, we will find the factors of each number and determine the largest factor that they share.
Answer
The GCF of 6 and 20 is $2$.
Answer for screen readers
The greatest common factor of 6 and 20 is $2$.
Steps to Solve
- List the factors of each number
Start by finding the factors of the first number, 6. The factors of 6 are: 1, 2, 3, 6.
Now, find the factors of the second number, 20. The factors of 20 are: 1, 2, 4, 5, 10, 20.
- Identify the common factors
Next, look for the factors that both numbers have in common. The common factors of 6 and 20 are: 1, 2.
- Determine the greatest common factor
Finally, identify the largest factor from the common factors list. The greatest common factor (GCF) is: 2.
The greatest common factor of 6 and 20 is $2$.
More Information
The greatest common factor (GCF) is an important concept in number theory and is useful for simplifying fractions, finding common denominators, and solving problems that require the equal distribution of items.
Tips
- Overlooking larger factors: Some might think that the larger number (20) has to be the GCF, but it's important to focus only on factors common to both.
- Not listing all factors: Ensure all factors of each number are listed before looking for commonalities.