Greatest Common Factor of 1137 and 1143

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 1137, 1143 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1137 and 1143 is 3.

GCF(1137,1143) = 3

GCF of 1137 and 1143

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

GCF of:
and

Greatest Common Factor of 1137 and 1143

GCF of 1137 and 1143 is 3

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

Prime Factorization of 1143


3 1143
3 381
127 127
1

Prime factors of 1143 are 3,127. Prime factorization of 1143 in exponential form is:

1143 = 32×1271

∴ So by taking common prime factors GCF of 1137 and 1143 is 3

Greatest Common Factor of 1137 and 1143 by matching factors method

Factors of 1137

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

1,3,379,1137

Factors of 1143

List of positive integer factors of 1143 that divides 1143 without a remainder.

1,3,9,127,381,1143

Greatest Common Factor

We found the factors and prime factorization of 1137 and 1143. The biggest common factor number is the GCF number.
So the greatest common factor 1137 and 1143 is 3.

Also check out the Least Common Multiple of 1137 and 1143

Properties of GCF 1137 and 1143

(i) The GCF of 1137 and 1143 is associative

GCF of 1137 and 1143 = GCF of 1143 and 1137

Related Greatest Common Factor of 1137

Related Greatest Common Factor of 1143

Frequently Asked Questions on GCF of 1137 and 1143

1. What is the GCF of 1137 and 1143?

Answer: GCF of 1137 and 1143 is 3.

2. 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.

3. What are the Factors of 1143?

Answer: Factors of 1143 are 1, 3, 9, 127, 381, 1143. There are 6 integers that are factors of 1143. The greatest factor of 1143 is 1143.

4. How to Find the GCF of 1137 and 1143?

Answer:

Greatest Common Factor of 1137 and 1143 = 3

Step 1: Find the prime factorization of 1137

1137 = 3 x 379

Step 2: Find the prime factorization of 1143

1143 = 3 x 3 x 127

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 1137 and 1143 is 3