GCF of 875 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 875 and 1,000?

Answer

GCF of 875 and 1,000 is
125

(One hundred twenty-five)

Finding GCF for 875 and 1,000 using all factors (divisors) listing

The first method to find GCF for numbers 875 and 1,000 is to list all factors for both numbers and pick the highest common one:

All factors of 875: 1, 5, 7, 25, 35, 125, 175, 875

All factors of 1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 875 and 1,000 is 125

Finding GCF for 875 and 1,000 by Prime Factorization

The second method to find GCF for numbers 875 and 1,000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 875: 5, 5, 5, 7

All Prime Factors of 1,000: 2, 2, 2, 5, 5, 5

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

Now we need to multiply them to find GCF: 5 × 5 × 5 = 125

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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 875 and 1,000? (The answer is: 125). Select the first number (e.g. '875') 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.
Recalculate with different values ↑

GCF Table

Number 1Number 2GCF
8759855
8759861
8759877
8759881
8759891
8759905
8759911
8759921
8759931
8759947
8759955
8759961
8759971
8759981
8759991
8751,000125
8751,0017
8751,0021
8751,0031
8751,0041
8751,0055
8751,0061
8751,0071
8751,0087
8751,0091
8751,0105
8751,0111
8751,0121
8751,0131
8751,0141

FAQ

What is the Greatest Common Divisor of 875 and 1,000?

GCF of 875 and 1,000 is 125

How to find the GCF of 875 and 1,000?

You can find the GCF of 875 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 875 and 1,000 is 125.

What prime factors do 875 and 1,000 share?

The prime factorizations of 875 and 1,000 have 5 × 5 × 5 in common, and multiplying those shared primes gives 125 — exactly the greatest common factor.

How does the GCF reduce the fraction 875/1000?

Divide the numerator and the denominator by the GCF 125: 875 ÷ 125 = 7 and 1,000 ÷ 125 = 8. So 875/1000 in lowest terms is 7/8.

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