GCF for 26 and 52

What is the Greatest common Divisor of 26 and 52?

Answer: GCF of 26 and 52 is 26

(Twenty-six)

Finding GCF for 26 and 52 using all factors (divisors) listing

The first method to find GCF for numbers 26 and 52 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 52: 1, 2, 4, 13, 26, 52

So the Greatest Common Factor for 26 and 52 is 26

Finding GCF for 26 and 52 by Prime Factorization

The second method to find GCF for numbers 26 and 52 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 52: 2, 2, 13

As we can see there are Prime Factors common to both numbers: 2, 13

Now we need to multiply them to find GCF: 2 × 13 = 26

Related Calculations

GCF Table

Number 1Number 2GCF
11521
1252
1352
14522
15521
16524
17521
1852
19521
20524
21521
22522
23521
2452
25521
2652
2752
28524
29521
30522
31521
32524
33521
34522
35521
36524
37521
38522
3952
4052

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 52? (The answer is: 26). Select the first number (e.g. '26') and the second number (e.g. '52'). 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 26 and 52?

GCF of 26 and 52 is 26