GCF for 250 and 300

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

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 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

GCF Table

Number 1Number 2GCF
2353005
2363004
2373003
2383002
2393001
24030060
2413001
2423002
2433003
2443004
2453005
2463006
2473001
2483004
2493003
250300
2513001
25230012
2533001
2543002
25530015
2563004
2573001
2583006
2593001
26030020
2613003
2623002
2633001
26430012

FAQ

What is the Greatest common Divisor of 250 and 300?

GCF of 250 and 300 is 50