Greatest Common Factor of 1164 and 1171

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 1164, 1171 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1164 and 1171 is 1.

GCF(1164,1171) = 1

GCF of 1164 and 1171

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

GCF of:
and

Greatest Common Factor of 1164 and 1171

GCF of 1164 and 1171 is 1

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

Prime Factorization of 1171


1171 1171
1

Prime factors of 1171 are 1171. Prime factorization of 1171 in exponential form is:

1171 = 11711

∴ So by taking common prime factors GCF of 1164 and 1171 is 1

Greatest Common Factor of 1164 and 1171 by matching factors method

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

Factors of 1171

List of positive integer factors of 1171 that divides 1171 without a remainder.

1,1171

Greatest Common Factor

We found the factors and prime factorization of 1164 and 1171. The biggest common factor number is the GCF number.
So the greatest common factor 1164 and 1171 is 1.

Also check out the Least Common Multiple of 1164 and 1171

Properties of GCF 1164 and 1171

(i) The GCF of 1164 and 1171 is associative

GCF of 1164 and 1171 = GCF of 1171 and 1164

Related Greatest Common Factor of 1164

Related Greatest Common Factor of 1171

Frequently Asked Questions on GCF of 1164 and 1171

1. What is the GCF of 1164 and 1171?

Answer: GCF of 1164 and 1171 is 1.

2. 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.

3. What are the Factors of 1171?

Answer: Factors of 1171 are 1, 1171. There are 2 integers that are factors of 1171. The greatest factor of 1171 is 1171.

4. How to Find the GCF of 1164 and 1171?

Answer:

Greatest Common Factor of 1164 and 1171 = 1

Step 1: Find the prime factorization of 1164

1164 = 2 x 2 x 3 x 97

Step 2: Find the prime factorization of 1171

1171 = 1171

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = = 1

Step 4: Therefore, the greatest common factor of 1164 and 1171 is 1