GCF of 625 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 625 and 1,000?

Answer

GCF of 625 and 1,000 is
125

(One hundred twenty-five)

Finding GCF for 625 and 1,000 using all factors (divisors) listing

The first method to find GCF for numbers 625 and 1,000 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 1,000: 1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 100, 125, 200, 250, 500, 1000

So the Greatest Common Factor for 625 and 1,000 is 125

Finding GCF for 625 and 1,000 by Prime Factorization

The second method to find GCF for numbers 625 and 1,000 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 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 625 and 1,000? (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
6251,000125
6251,0011
6251,0021
6251,0031
6251,0041
6251,0055
6251,0061
6251,0071
6251,0081
6251,0091
6251,0105
6251,0111
6251,0121
6251,0131
6251,0141

FAQ

What is the Greatest Common Divisor of 625 and 1,000?

GCF of 625 and 1,000 is 125

How to find the GCF of 625 and 1,000?

You can find the GCF of 625 and 1,000 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 625 and 1,000 is 125.

What prime factors do 625 and 1,000 share?

The prime factorizations of 625 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 625/1000?

Divide the numerator and the denominator by the GCF 125: 625 ÷ 125 = 5 and 1,000 ÷ 125 = 8. So 625/1000 in lowest terms is 5/8.

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