GCF for 1125 and 1500

What is the Greatest common Divisor of 1125 and 1500?

Answer: GCF of 1125 and 1500 is 375

(Three hundred seventy-five)

Finding GCF for 1125 and 1500 using all factors (divisors) listing

The first method to find GCF for numbers 1125 and 1500 is to list all factors for both numbers and pick the highest common one:

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

All factors of 1500: 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 1125 and 1500 is 375

Finding GCF for 1125 and 1500 by Prime Factorization

The second method to find GCF for numbers 1125 and 1500 is to list all Prime Factors for both numbers and multiply the common ones:

All Prime Factors of 1125: 3, 3, 5, 5, 5

All Prime Factors of 1500: 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

See Also

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 1125 and 1500? (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

GCF Table

Number 1Number 2GCF
1110150030
111115001
111215004
111315003
111415002
111515005
1116150012
111715001
111815002
111915003
1120150020
112115001
112215006
112315001
112415004
11251500
112615002
112715001
1128150012
112915001
1130150010
113115003
113215004
113315001
113415006
113515005
113615004
113715003
113815002
113915001

FAQ

What is the Greatest common Divisor of 1125 and 1500?

GCF of 1125 and 1500 is 375