GCF for 17 and 34

What is the Greatest common Divisor of 17 and 34?

Answer: GCF of 17 and 34 is 17

(Seventeen)

Finding GCF for 17 and 34 using all factors (divisors) listing

The first method to find GCF for numbers 17 and 34 is to list all factors for both numbers and pick the highest common one:

All factors of 17: 1, 17

All factors of 34: 1, 2, 17, 34

So the Greatest Common Factor for 17 and 34 is 17

Finding GCF for 17 and 34 by Prime Factorization

The second method to find GCF for numbers 17 and 34 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 17: 17

All Prime Factors of 34: 2, 17

As we can see there is only one Prime Factor common to both numbers. It is 17

So 17 is the Greatest Common Factor of 17 and 34

GCF Table

Number 1Number 2GCF
2342
3341
4342
5341
6342
7341
8342
9341
10342
11341
1234
13341
1434
15341
1634
1734
1834
19341
20342
2134
2234
2334
2434
2534
2634
27341
2834
2934
30342
31341

About "Greatest Common Factor" Calculator

This calculator will help you find the greatest common factor (GCF) of two numbers. For example, it can help you find out what is the Greatest common Divisor of 17 and 34? (The answer is: 17). Select the first number (e.g. '17') and the second number (e.g. '34'). After that hit the 'Calculate' button.
Greatest Common Factor (GCF) also known as the Greatest Common Divisor (GCD) or Highest Common Factor (HCF) - it is the largest positive integer that divides each of the integers with zero remainder

FAQ

What is the Greatest common Divisor of 17 and 34?

GCF of 17 and 34 is 17