GCF of 17 and 34
Understand the Problem
The question is asking for the greatest common factor (GCF) of the numbers 17 and 34, which involves identifying the largest number that divides both of them without leaving a remainder.
Answer
The GCF of 17 and 34 is $17$.
Answer for screen readers
The greatest common factor (GCF) of 17 and 34 is $17$.
Steps to Solve
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List the factors of each number
First, we need to identify the factors of both numbers.
Factors of 17: 1, 17
Factors of 34: 1, 2, 17, 34 -
Identify the common factors
Next, we look for the factors that are common in both lists.
Common factors between 17 and 34: 1, 17 -
Determine the greatest common factor
Now we find the largest number in the common factors list.
The greatest common factor (GCF) is 17.
The greatest common factor (GCF) of 17 and 34 is $17$.
More Information
The GCF is important in simplifying fractions and determining common divisors in various mathematical applications. In this case, since 17 is a prime number, it is a divisor of 34.
Tips
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