GCF of 625 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 625 and 1000?

Answer

GCF of 625 and 1000 is
125

(One hundred twenty-five)

Finding GCF for 625 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 625 and 1000 is to list all factors for both numbers and pick the highest common one:

All factors of 625: 1, 5, 25, 125, 625

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 625 and 1000 is 125

Finding GCF for 625 and 1000 by Prime Factorization

The second method to find GCF for numbers 625 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 625: 5, 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: 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 625 and 1000? (The answer is: 125). Select the first number (e.g. '625') 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.
"Greatest Common Factor" Calculator
Greatest Common Factor of
and

GCF Table

Number 1Number 2GCF
6259855
6259861
6259871
6259881
6259891
6259905
6259911
6259921
6259931
6259941
6259955
6259961
6259971
6259981
6259991
6251000125
62510011
62510021
62510031
62510041
62510055
62510061
62510071
62510081
62510091
62510105
62510111
62510121
62510131
62510141

FAQ

What is the Greatest Common Divisor of 625 and 1000?

GCF of 625 and 1000 is 125

How to find the GCF of 625 and 1000?

You can find the GCF of 625 and 1000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 625 and 1000 is 125.

What prime factors do 625 and 1000 share?

The prime factorizations of 625 and 1000 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 625/1000?

Divide the numerator and the denominator by the GCF 125: 625 ÷ 125 = 5 and 1000 ÷ 125 = 8. So 625/1000 in lowest terms is 5/8.

See Also