GCF of 250 and 130 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 250 and 130?

Answer

GCF of 250 and 130 is
10

(Ten)

Finding GCF for 250 and 130 using all factors (divisors) listing

The first method to find GCF for numbers 250 and 130 is to list all factors for both numbers and pick the highest common one:

All factors of 250: 1, 2, 5, 10, 25, 50, 125, 250

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

So the Greatest Common Factor for 250 and 130 is 10

Finding GCF for 250 and 130 by Prime Factorization

The second method to find GCF for numbers 250 and 130 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 250: 2, 5, 5, 5

All Prime Factors of 130: 2, 5, 13

As we can see there are Prime Factors common to both numbers: 2, 5

Now we need to multiply them to find GCF: 2 × 5 = 10

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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 250 and 130? (The answer is: 10). Select the first number (e.g. '250') 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
2501155
2501162
2501171
2501182
2501191
25012010
2501211
2501222
2501231
2501242
250125125
2501262
2501271
2501282
2501291
25013010
2501311
2501322
2501331
2501342
2501355
2501362
2501371
2501382
2501391
25014010
2501411
2501422
2501431
2501442

FAQ

What is the Greatest Common Divisor of 250 and 130?

GCF of 250 and 130 is 10

How to find the GCF of 250 and 130?

You can find the GCF of 250 and 130 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 130 is 10.

What prime factors do 250 and 130 share?

The prime factorizations of 250 and 130 have 2 × 5 in common, and multiplying those shared primes gives 10 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/130?

Divide the numerator and the denominator by the GCF 10: 250 ÷ 10 = 25 and 130 ÷ 10 = 13. So 250/130 in lowest terms is 25/13.

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