What is the GCF of 34 and 85?
Understand the Problem
The question is asking for the greatest common factor (GCF) of the two numbers, 34 and 85. To solve it, we will identify the factors of both numbers and find the largest factor that is common to both.
Answer
The GCF of 34 and 85 is $17$.
Answer for screen readers
The greatest common factor of 34 and 85 is 17.
Steps to Solve
- List the factors of 34
First, we find the factors of 34. The factors are the numbers that divide 34 without leaving a remainder. The factors of 34 are:
1, 2, 17, 34
- List the factors of 85
Next, we find the factors of 85. The factors of 85 are:
1, 5, 17, 85
- Identify the common factors
Now we identify the factors that both 34 and 85 share. The common factors are:
1, 17
- Determine the greatest common factor (GCF)
Finally, we pick the largest factor from the common factors identified. The greatest common factor is:
17
The greatest common factor of 34 and 85 is 17.
More Information
The GCF is useful for simplifying fractions and finding equivalent fractions. It can also help in solving problems involving divisibility and number theory.
Tips
- One common mistake is to only focus on the largest number instead of finding actual factors. Always list all factors to ensure you identify the correct common factors.
AI-generated content may contain errors. Please verify critical information
