Greatest Common Factor of 1160 and 1166

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 1160, 1166 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1160 and 1166 is 2.

GCF(1160,1166) = 2

GCF of 1160 and 1166

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

GCF of:
and

Greatest Common Factor of 1160 and 1166

GCF of 1160 and 1166 is 2

Prime Factorization of 1160


2 1160
2 580
2 290
5 145
29 29
1

Prime factors of 1160 are 2,5,29. Prime factorization of 1160 in exponential form is:

1160 = 23×51×291

Prime Factorization of 1166


2 1166
11 583
53 53
1

Prime factors of 1166 are 2,11,53. Prime factorization of 1166 in exponential form is:

1166 = 21×111×531

∴ So by taking common prime factors GCF of 1160 and 1166 is 2

Greatest Common Factor of 1160 and 1166 by matching factors method

Factors of 1160

List of positive integer factors of 1160 that divides 1160 without a remainder.

1,2,4,5,8,10,20,29,40,58,116,145,232,290,580,1160

Factors of 1166

List of positive integer factors of 1166 that divides 1166 without a remainder.

1,2,11,22,53,106,583,1166

Greatest Common Factor

We found the factors and prime factorization of 1160 and 1166. The biggest common factor number is the GCF number.
So the greatest common factor 1160 and 1166 is 2.

Also check out the Least Common Multiple of 1160 and 1166

Properties of GCF 1160 and 1166

(i) The GCF of 1160 and 1166 is associative

GCF of 1160 and 1166 = GCF of 1166 and 1160

Related Greatest Common Factor of 1160

Related Greatest Common Factor of 1166

Frequently Asked Questions on GCF of 1160 and 1166

1. What is the GCF of 1160 and 1166?

Answer: GCF of 1160 and 1166 is 2.

2. What are the Factors of 1160?

Answer: Factors of 1160 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 116, 145, 232, 290, 580, 1160. There are 16 integers that are factors of 1160. The greatest factor of 1160 is 1160.

3. What are the Factors of 1166?

Answer: Factors of 1166 are 1, 2, 11, 22, 53, 106, 583, 1166. There are 8 integers that are factors of 1166. The greatest factor of 1166 is 1166.

4. How to Find the GCF of 1160 and 1166?

Answer:

Greatest Common Factor of 1160 and 1166 = 2

Step 1: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

Step 2: Find the prime factorization of 1166

1166 = 2 x 11 x 53

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

GCF = 2

Step 4: Therefore, the greatest common factor of 1160 and 1166 is 2