GCF of 250 and 300 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 250 and 300?

Answer

GCF of 250 and 300 is
50

(Fifty)

Finding GCF for 250 and 300 using all factors (divisors) listing

The first method to find GCF for numbers 250 and 300 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 300: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 300

So the Greatest Common Factor for 250 and 300 is 50

Finding GCF for 250 and 300 by Prime Factorization

The second method to find GCF for numbers 250 and 300 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 300: 2, 2, 3, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 × 5 = 50

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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 300? (The answer is: 50). Select the first number (e.g. '250') and the second number (e.g. '300'). 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
2502855
2502862
2502871
2502882
2502891
25029010
2502911
2502922
2502931
2502942
2502955
2502962
2502971
2502982
2502991
25030050
2503011
2503022
2503031
2503042
2503055
2503062
2503071
2503082
2503091
25031010
2503111
2503122
2503131
2503142

FAQ

What is the Greatest Common Divisor of 250 and 300?

GCF of 250 and 300 is 50

How to find the GCF of 250 and 300?

You can find the GCF of 250 and 300 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 250 and 300 is 50.

What prime factors do 250 and 300 share?

The prime factorizations of 250 and 300 have 2 × 5 × 5 in common, and multiplying those shared primes gives 50 — exactly the greatest common factor.

How does the GCF reduce the fraction 250/300?

Divide the numerator and the denominator by the GCF 50: 250 ÷ 50 = 5 and 300 ÷ 50 = 6. So 250/300 in lowest terms is 5/6.

See Also