GCF for 17 and 85

What is the Greatest common Divisor of 17 and 85?

Answer: GCF of 17 and 85 is 17

(Seventeen)

Finding GCF for 17 and 85 using all factors (divisors) listing

The first method to find GCF for numbers 17 and 85 is to list all factors for both numbers and pick the highest common one:

All factors of 17: 1, 17

All factors of 85: 1, 5, 17, 85

So the Greatest Common Factor for 17 and 85 is 17

Finding GCF for 17 and 85 by Prime Factorization

The second method to find GCF for numbers 17 and 85 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 17: 17

All Prime Factors of 85: 5, 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 85

See Also

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 85? (The answer is: 17). Select the first number (e.g. '17') and the second number (e.g. '85'). 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

GCF Table

Number 1Number 2GCF
2851
3851
4851
5855
6851
7851
8851
9851
10855
11851
12851
13851
14851
15855
16851
1785
18851
19851
2085
21851
22851
23851
24851
25855
26851
27851
28851
29851
30855
31851

FAQ

What is the Greatest common Divisor of 17 and 85?

GCF of 17 and 85 is 17