Greatest Common Factor of 1131 and 1137

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 1131, 1137 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1131 and 1137 is 3.

GCF(1131,1137) = 3

GCF of 1131 and 1137

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

GCF of:
and

Greatest Common Factor of 1131 and 1137

GCF of 1131 and 1137 is 3

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

Prime Factorization of 1137


3 1137
379 379
1

Prime factors of 1137 are 3,379. Prime factorization of 1137 in exponential form is:

1137 = 31×3791

∴ So by taking common prime factors GCF of 1131 and 1137 is 3

Greatest Common Factor of 1131 and 1137 by matching factors method

Factors of 1131

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

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

Factors of 1137

List of positive integer factors of 1137 that divides 1137 without a remainder.

1,3,379,1137

Greatest Common Factor

We found the factors and prime factorization of 1131 and 1137. The biggest common factor number is the GCF number.
So the greatest common factor 1131 and 1137 is 3.

Also check out the Least Common Multiple of 1131 and 1137

Properties of GCF 1131 and 1137

(i) The GCF of 1131 and 1137 is associative

GCF of 1131 and 1137 = GCF of 1137 and 1131

Related Greatest Common Factor of 1131

Related Greatest Common Factor of 1137

Frequently Asked Questions on GCF of 1131 and 1137

1. What is the GCF of 1131 and 1137?

Answer: GCF of 1131 and 1137 is 3.

2. 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.

3. What are the Factors of 1137?

Answer: Factors of 1137 are 1, 3, 379, 1137. There are 4 integers that are factors of 1137. The greatest factor of 1137 is 1137.

4. How to Find the GCF of 1131 and 1137?

Answer:

Greatest Common Factor of 1131 and 1137 = 3

Step 1: Find the prime factorization of 1131

1131 = 3 x 13 x 29

Step 2: Find the prime factorization of 1137

1137 = 3 x 379

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 1131 and 1137 is 3