GCF of 104 and 130 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 104 and 130?

Answer

GCF of 104 and 130 is
26

(Twenty-six)

Finding GCF for 104 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 104 and 130 is to list all factors for both numbers and pick the highest common one:

All factors of 104: 1, 2, 4, 8, 13, 26, 52, 104

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

So the Greatest Common Factor for 104 and 130 is 26

Finding GCF for 104 and 130 by Prime Factorization

The second method to find GCF for numbers 104 and 130 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 104: 2, 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

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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 104 and 130? (The answer is: 26). Select the first number (e.g. '104') 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
1041151
1041164
10411713
1041182
1041191
1041208
1041211
1041222
1041231
1041244
1041251
1041262
1041271
1041288
1041291
10413026
1041311
1041324
1041331
1041342
1041351
1041368
1041371
1041382
1041391
1041404
1041411
1041422
10414313
1041448

FAQ

What is the Greatest Common Divisor of 104 and 130?

GCF of 104 and 130 is 26

How to find the GCF of 104 and 130?

You can find the GCF of 104 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 104 and 130 is 26.

What prime factors do 104 and 130 share?

The prime factorizations of 104 and 130 have 2 × 13 in common, and multiplying those shared primes gives 26 — exactly the greatest common factor.

How does the GCF reduce the fraction 104/130?

Divide the numerator and the denominator by the GCF 26: 104 ÷ 26 = 4 and 130 ÷ 26 = 5. So 104/130 in lowest terms is 4/5.

See Also