GCF of 1125 and 1500 (Greatest Common Factor)

"Greatest Common Factor" Calculator
Greatest Common Factor of
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What is the Greatest Common Divisor of 1,125 and 1,500?

Answer

GCF of 1,125 and 1,500 is
375

(Three hundred seventy-five)

Finding GCF for 1,125 and 1,500 using all factors (divisors) listing

The first method to find GCF for numbers 1,125 and 1,500 is to list all factors for both numbers and pick the highest common one:

All factors of 1,125: 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125

All factors of 1,500: 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 125, 150, 250, 300, 375, 500, 750, 1500

So the Greatest Common Factor for 1,125 and 1,500 is 375

Finding GCF for 1,125 and 1,500 by Prime Factorization

The second method to find GCF for numbers 1,125 and 1,500 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 1,125: 3, 3, 5, 5, 5

All Prime Factors of 1,500: 2, 2, 3, 5, 5, 5

As we can see there are Prime Factors common to both numbers: 3, 5, 5, 5

Now we need to multiply them to find GCF: 3 × 5 × 5 × 5 = 375

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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 1,125 and 1,500? (The answer is: 375). Select the first number (e.g. '1125') and the second number (e.g. '1500'). 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
1,1251,48545
1,1251,4861
1,1251,4871
1,1251,4883
1,1251,4891
1,1251,4905
1,1251,4913
1,1251,4921
1,1251,4931
1,1251,4949
1,1251,4955
1,1251,4961
1,1251,4973
1,1251,4981
1,1251,4991
1,1251,500375
1,1251,5011
1,1251,5021
1,1251,5039
1,1251,5041
1,1251,5055
1,1251,5063
1,1251,5071
1,1251,5081
1,1251,5093
1,1251,5105
1,1251,5111
1,1251,5129
1,1251,5131
1,1251,5141

FAQ

What is the Greatest Common Divisor of 1,125 and 1,500?

GCF of 1,125 and 1,500 is 375

How to find the GCF of 1,125 and 1,500?

You can find the GCF of 1,125 and 1,500 by listing all factors of both numbers and picking the greatest common one, or by prime factorization. The GCF of 1,125 and 1,500 is 375.

What prime factors do 1,125 and 1,500 share?

The prime factorizations of 1,125 and 1,500 have 3 × 5 × 5 × 5 in common, and multiplying those shared primes gives 375 — exactly the greatest common factor.

How does the GCF reduce the fraction 1125/1500?

Divide the numerator and the denominator by the GCF 375: 1,125 ÷ 375 = 3 and 1,500 ÷ 375 = 4. So 1125/1500 in lowest terms is 3/4.

See Also