GCF of 125 and 1000 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 125 and 1000?

Answer

GCF of 125 and 1000 is
125

(One hundred twenty-five)

Finding GCF for 125 and 1000 using all factors (divisors) listing

The first method to find GCF for numbers 125 and 1000 is to list all factors for both numbers and pick the highest common one:

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

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 125 and 1000 is 125

Finding GCF for 125 and 1000 by Prime Factorization

The second method to find GCF for numbers 125 and 1000 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 125: 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 125 and 1000? (The answer is: 125). Select the first number (e.g. '125') 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
1259855
1259861
1259871
1259881
1259891
1259905
1259911
1259921
1259931
1259941
1259955
1259961
1259971
1259981
1259991
1251000125
12510011
12510021
12510031
12510041
12510055
12510061
12510071
12510081
12510091
12510105
12510111
12510121
12510131
12510141

FAQ

What is the Greatest Common Divisor of 125 and 1000?

GCF of 125 and 1000 is 125

How to find the GCF of 125 and 1000?

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

What prime factors do 125 and 1000 share?

The prime factorizations of 125 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 125/1000?

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

See Also