gcf of 68 and 34
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 68 and 34. To find the GCF, we need to identify the largest number that divides both 68 and 34 without leaving a remainder.
Answer
The GCF of 68 and 34 is $34$.
Answer for screen readers
The greatest common factor of 68 and 34 is $34$.
Steps to Solve
- List the factors of each number
Start by finding the factors of 68.
The factors of 68 are: 1, 2, 4, 17, 34, 68.
Next, find the factors of 34.
The factors of 34 are: 1, 2, 17, 34.
- Identify the common factors
Now, we need to identify the factors that are common to both lists.
The common factors of 68 and 34 are: 1, 2, 17, 34.
- Find the greatest common factor
The greatest of the common factors found is the GCF.
Thus, the GCF of 68 and 34 is: $$ \text{GCF} = 34 $$
The greatest common factor of 68 and 34 is $34$.
More Information
The GCF is useful in simplifying fractions and finding equivalent ratios. Additionally, the GCF can be used in various applications such as solving problems involving shared items.
Tips
- Forgetting to list all factors can lead to missing some common factors.
- Confusing the GCF with the least common multiple (LCM). Remember, the GCF is the largest factor shared by the numbers.
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