Greatest Common Factor of 1158 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 1158, 1164 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1158 and 1164 is 6.

GCF(1158,1164) = 6

GCF of 1158 and 1164

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

GCF of:
and

Greatest Common Factor of 1158 and 1164

GCF of 1158 and 1164 is 6

Prime Factorization of 1158


2 1158
3 579
193 193
1

Prime factors of 1158 are 2,3,193. Prime factorization of 1158 in exponential form is:

1158 = 21×31×1931

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 1158 and 1164 is 6

Greatest Common Factor of 1158 and 1164 by matching factors method

Factors of 1158

List of positive integer factors of 1158 that divides 1158 without a remainder.

1,2,3,6,193,386,579,1158

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 1158 and 1164. The biggest common factor number is the GCF number.
So the greatest common factor 1158 and 1164 is 6.

Also check out the Least Common Multiple of 1158 and 1164

Properties of GCF 1158 and 1164

(i) The GCF of 1158 and 1164 is associative

GCF of 1158 and 1164 = GCF of 1164 and 1158

Related Greatest Common Factor of 1158

Related Greatest Common Factor of 1164

Frequently Asked Questions on GCF of 1158 and 1164

1. What is the GCF of 1158 and 1164?

Answer: GCF of 1158 and 1164 is 6.

2. What are the Factors of 1158?

Answer: Factors of 1158 are 1, 2, 3, 6, 193, 386, 579, 1158. There are 8 integers that are factors of 1158. The greatest factor of 1158 is 1158.

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 1158 and 1164?

Answer:

Greatest Common Factor of 1158 and 1164 = 6

Step 1: Find the prime factorization of 1158

1158 = 2 x 3 x 193

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 = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 1158 and 1164 is 6