What is the GCF of 26 and 34?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 26 and 34. To find the GCF, we will look for the largest integer that divides both numbers without leaving a remainder.
Answer
The greatest common factor (GCF) of 26 and 34 is $2$.
Answer for screen readers
The greatest common factor (GCF) of 26 and 34 is $2$.
Steps to Solve
- List the Factors of Each Number
First, we need to find the factors of both numbers.
- Factors of 26: 1, 2, 13, 26
- Factors of 34: 1, 2, 17, 34
- Identify the Common Factors
Next, we identify which factors are common between both lists.
- Common factors of 26 and 34: 1, 2
- Determine the Greatest Common Factor
Finally, we find the largest common factor from the list we created.
- The greatest common factor is 2.
The greatest common factor (GCF) of 26 and 34 is $2$.
More Information
The GCF is useful in simplifying fractions, finding common denominators, and solving problems involving ratios. In this case, it shows that both numbers can be divided by 2 without leaving a remainder.
Tips
- Forgetting to list all factors: It's important to include all the factors of each number to ensure no common factors are overlooked.
- Incorrectly identifying the largest common factor: Ensure you correctly compare the common factors to find the greatest one.
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