GCF for 26 and 65

What is the Greatest common Divisor of 26 and 65?

Answer: GCF of 26 and 65 is 13

(Thirteen)

Finding GCF for 26 and 65 using all factors (divisors) listing

The first method to find GCF for numbers 26 and 65 is to list all factors for both numbers and pick the highest common one:

All factors of 26: 1, 2, 13, 26

All factors of 65: 1, 5, 13, 65

So the Greatest Common Factor for 26 and 65 is 13

Finding GCF for 26 and 65 by Prime Factorization

The second method to find GCF for numbers 26 and 65 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 26: 2, 13

All Prime Factors of 65: 5, 13

As we can see there is only one Prime Factor common to both numbers. It is 13

So 13 is the Greatest Common Factor of 26 and 65

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 26 and 65? (The answer is: 13). Select the first number (e.g. '26') and the second number (e.g. '65'). 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
11651
12651
1365
14651
15655
16651
17651
18651
19651
20655
21651
22651
23651
2465
25655
2665
27651
28651
29651
3065
31651
32651
33651
34651
3565
36651
37651
38651
3965
4065

FAQ

What is the Greatest common Divisor of 26 and 65?

GCF of 26 and 65 is 13