GCF for 26 and 130

What is the Greatest common Divisor of 26 and 130?

Answer: GCF of 26 and 130 is 26

(Twenty-six)

Finding GCF for 26 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 26 and 130 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 130: 1, 2, 5, 10, 13, 26, 65, 130

So the Greatest Common Factor for 26 and 130 is 26

Finding GCF for 26 and 130 by Prime Factorization

The second method to find GCF for numbers 26 and 130 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 130: 2, 5, 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

GCF Table

Number 1Number 2GCF
111301
121302
1313013
141302
151305
161302
171301
181302
191301
2013010
211301
221302
231301
241302
251305
26130
271301
281302
291301
30130
311301
321302
331301
341302
351305
361302
371301
381302
3913013
4013010

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 130? (The answer is: 26). Select the first number (e.g. '26') and the second number (e.g. '130'). 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 130?

GCF of 26 and 130 is 26