Greatest Common Factor of 1143 and 1149

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 1143, 1149 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1143 and 1149 is 3.

GCF(1143,1149) = 3

GCF of 1143 and 1149

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

GCF of:
and

Greatest Common Factor of 1143 and 1149

GCF of 1143 and 1149 is 3

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

Prime Factorization of 1149


3 1149
383 383
1

Prime factors of 1149 are 3,383. Prime factorization of 1149 in exponential form is:

1149 = 31×3831

∴ So by taking common prime factors GCF of 1143 and 1149 is 3

Greatest Common Factor of 1143 and 1149 by matching factors method

Factors of 1143

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

1,3,9,127,381,1143

Factors of 1149

List of positive integer factors of 1149 that divides 1149 without a remainder.

1,3,383,1149

Greatest Common Factor

We found the factors and prime factorization of 1143 and 1149. The biggest common factor number is the GCF number.
So the greatest common factor 1143 and 1149 is 3.

Also check out the Least Common Multiple of 1143 and 1149

Properties of GCF 1143 and 1149

(i) The GCF of 1143 and 1149 is associative

GCF of 1143 and 1149 = GCF of 1149 and 1143

Related Greatest Common Factor of 1143

Related Greatest Common Factor of 1149

Frequently Asked Questions on GCF of 1143 and 1149

1. What is the GCF of 1143 and 1149?

Answer: GCF of 1143 and 1149 is 3.

2. 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.

3. What are the Factors of 1149?

Answer: Factors of 1149 are 1, 3, 383, 1149. There are 4 integers that are factors of 1149. The greatest factor of 1149 is 1149.

4. How to Find the GCF of 1143 and 1149?

Answer:

Greatest Common Factor of 1143 and 1149 = 3

Step 1: Find the prime factorization of 1143

1143 = 3 x 3 x 127

Step 2: Find the prime factorization of 1149

1149 = 3 x 383

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 1143 and 1149 is 3