Greatest Common Factor of 1125 and 1131

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Make use of GCF Calculator to quickly find the Greatest Common Factor of numbers 1125, 1131 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1125 and 1131 is 3.

GCF(1125,1131) = 3

GCF of 1125 and 1131

Greatest common factor or Greatest common divisor (GCD) can be calculated in following way;

GCF of:
and

Greatest Common Factor of 1125 and 1131

GCF of 1125 and 1131 is 3

Prime Factorization of 1125


3 1125
3 375
5 125
5 25
5 5
1

Prime factors of 1125 are 3,5. Prime factorization of 1125 in exponential form is:

1125 = 32×53

Prime Factorization of 1131


3 1131
13 377
29 29
1

Prime factors of 1131 are 3,13,29. Prime factorization of 1131 in exponential form is:

1131 = 31×131×291

∴ So by taking common prime factors GCF of 1125 and 1131 is 3

Greatest Common Factor of 1125 and 1131 by matching factors method

Factors of 1125

List of positive integer factors of 1125 that divides 1125 without a remainder.

1,3,5,9,15,25,45,75,125,225,375,1125

Factors of 1131

List of positive integer factors of 1131 that divides 1131 without a remainder.

1,3,13,29,39,87,377,1131

Greatest Common Factor

We found the factors and prime factorization of 1125 and 1131. The biggest common factor number is the GCF number.
So the greatest common factor 1125 and 1131 is 3.

Also check out the Least Common Multiple of 1125 and 1131

Properties of GCF 1125 and 1131

(i) The GCF of 1125 and 1131 is associative

GCF of 1125 and 1131 = GCF of 1131 and 1125

Related Greatest Common Factor of 1125

Related Greatest Common Factor of 1131

Frequently Asked Questions on GCF of 1125 and 1131

1. What is the GCF of 1125 and 1131?

Answer: GCF of 1125 and 1131 is 3.

2. What are the Factors of 1125?

Answer: Factors of 1125 are 1, 3, 5, 9, 15, 25, 45, 75, 125, 225, 375, 1125. There are 12 integers that are factors of 1125. The greatest factor of 1125 is 1125.

3. What are the Factors of 1131?

Answer: Factors of 1131 are 1, 3, 13, 29, 39, 87, 377, 1131. There are 8 integers that are factors of 1131. The greatest factor of 1131 is 1131.

4. How to Find the GCF of 1125 and 1131?

Answer:

Greatest Common Factor of 1125 and 1131 = 3

Step 1: Find the prime factorization of 1125

1125 = 3 x 3 x 5 x 5 x 5

Step 2: Find the prime factorization of 1131

1131 = 3 x 13 x 29

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 3

Step 4: Therefore, the greatest common factor of 1125 and 1131 is 3