GCF for 250 and 1000

What is the Greatest common Divisor of 250 and 1000?

Answer: GCF of 250 and 1000 is 250

(Two hundred fifty)

Finding GCF for 250 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 250 and 1000 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 1000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 250 and 1000 is 250

Finding GCF for 250 and 1000 by Prime Factorization

The second method to find GCF for numbers 250 and 1000 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 1000: 2, 2, 2, 5, 5, 5

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

Now we need to multiply them to find GCF: 2 × 5 × 5 × 5 = 250

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 1000? (The answer is: 250). Select the first number (e.g. '250') and the second number (e.g. '1000'). 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
23510005
23610004
23710001
23810002
23910001
240100040
24110001
24210002
24310001
24410004
24510005
24610002
24710001
24810008
24910001
2501000
25110001
25210004
25310001
25410002
25510005
25610008
25710001
25810002
25910001
260100020
26110001
26210002
26310001
26410008

FAQ

What is the Greatest common Divisor of 250 and 1000?

GCF of 250 and 1000 is 250