Greatest Common Factor of 1161 and 1164

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 1161, 1164 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1161 and 1164 is 3.

GCF(1161,1164) = 3

GCF of 1161 and 1164

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

GCF of:
and

Greatest Common Factor of 1161 and 1164

GCF of 1161 and 1164 is 3

Prime Factorization of 1161


3 1161
3 387
3 129
43 43
1

Prime factors of 1161 are 3,43. Prime factorization of 1161 in exponential form is:

1161 = 33×431

Prime Factorization of 1164


2 1164
2 582
3 291
97 97
1

Prime factors of 1164 are 2,3,97. Prime factorization of 1164 in exponential form is:

1164 = 22×31×971

∴ So by taking common prime factors GCF of 1161 and 1164 is 3

Greatest Common Factor of 1161 and 1164 by matching factors method

Factors of 1161

List of positive integer factors of 1161 that divides 1161 without a remainder.

1,3,9,27,43,129,387,1161

Factors of 1164

List of positive integer factors of 1164 that divides 1164 without a remainder.

1,2,3,4,6,12,97,194,291,388,582,1164

Greatest Common Factor

We found the factors and prime factorization of 1161 and 1164. The biggest common factor number is the GCF number.
So the greatest common factor 1161 and 1164 is 3.

Also check out the Least Common Multiple of 1161 and 1164

Properties of GCF 1161 and 1164

(i) The GCF of 1161 and 1164 is associative

GCF of 1161 and 1164 = GCF of 1164 and 1161

Related Greatest Common Factor of 1161

Related Greatest Common Factor of 1164

Frequently Asked Questions on GCF of 1161 and 1164

1. What is the GCF of 1161 and 1164?

Answer: GCF of 1161 and 1164 is 3.

2. What are the Factors of 1161?

Answer: Factors of 1161 are 1, 3, 9, 27, 43, 129, 387, 1161. There are 8 integers that are factors of 1161. The greatest factor of 1161 is 1161.

3. What are the Factors of 1164?

Answer: Factors of 1164 are 1, 2, 3, 4, 6, 12, 97, 194, 291, 388, 582, 1164. There are 12 integers that are factors of 1164. The greatest factor of 1164 is 1164.

4. How to Find the GCF of 1161 and 1164?

Answer:

Greatest Common Factor of 1161 and 1164 = 3

Step 1: Find the prime factorization of 1161

1161 = 3 x 3 x 3 x 43

Step 2: Find the prime factorization of 1164

1164 = 2 x 2 x 3 x 97

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 1161 and 1164 is 3