GCF for 52 and 130

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

What is the Greatest common Divisor of 52 and 130?

Answer: GCF of 52 and 130 is 26

(Twenty-six)

Finding GCF for 52 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 52 and 130 is to list all factors for both numbers and pick the highest common one:

All factors of 52: 1, 2, 4, 13, 26, 52

All factors of 130: 1, 2, 5, 10, 13, 26, 65, 130

So the Greatest Common Factor for 52 and 130 is 26

Finding GCF for 52 and 130 by Prime Factorization

The second method to find GCF for numbers 52 and 130 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 52: 2, 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

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 52 and 130? (The answer is: 26). Select the first number (e.g. '52') 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

"Greatest Common Factor" Calculator

Greatest Common Factor of

and

GCF Table

Number 1Number 2GCF
371301
381302
3913013
4013010
411301
421302
431301
441302
451305
461302
471301
481302
491301
5013010
511301
5213026
531301
541302
551305
561302
571301
581302
591301
6013010
611301
621302
631301
641302
6513065
661302

FAQ

What is the Greatest common Divisor of 52 and 130?

GCF of 52 and 130 is 26

See Also