GCF of 125 and 500 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
and

What is the Greatest Common Divisor of 125 and 500?

Answer

GCF of 125 and 500 is
125

(One hundred twenty-five)

Finding GCF for 125 and 500 using all factors (divisors) listing

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

So the Greatest Common Factor for 125 and 500 is 125

Finding GCF for 125 and 500 by Prime Factorization

The second method to find GCF for numbers 125 and 500 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 500: 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 500? (The answer is: 125). Select the first number (e.g. '125') and the second number (e.g. '500'). 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
1254855
1254861
1254871
1254881
1254891
1254905
1254911
1254921
1254931
1254941
1254955
1254961
1254971
1254981
1254991
125500125
1255011
1255021
1255031
1255041
1255055
1255061
1255071
1255081
1255091
1255105
1255111
1255121
1255131
1255141

FAQ

What is the Greatest Common Divisor of 125 and 500?

GCF of 125 and 500 is 125

How to find the GCF of 125 and 500?

You can find the GCF of 125 and 500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 125 and 500 is 125.

What prime factors do 125 and 500 share?

The prime factorizations of 125 and 500 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 125/500?

Divide the numerator and the denominator by the GCF 125: 125 ÷ 125 = 1 and 500 ÷ 125 = 4. So 125/500 in lowest terms is 1/4.

See Also