Greatest Common Factor of 1158 and 1160

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

Greatest common factor (GCF) of 1158 and 1160 is 2.

GCF(1158,1160) = 2

GCF of 1158 and 1160

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

GCF of:
and

Greatest Common Factor of 1158 and 1160

GCF of 1158 and 1160 is 2

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 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

∴ So by taking common prime factors GCF of 1158 and 1160 is 2

Greatest Common Factor of 1158 and 1160 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 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

Greatest Common Factor

We found the factors and prime factorization of 1158 and 1160. The biggest common factor number is the GCF number.
So the greatest common factor 1158 and 1160 is 2.

Also check out the Least Common Multiple of 1158 and 1160

Properties of GCF 1158 and 1160

(i) The GCF of 1158 and 1160 is associative

GCF of 1158 and 1160 = GCF of 1160 and 1158

Related Greatest Common Factor of 1158

Related Greatest Common Factor of 1160

Frequently Asked Questions on GCF of 1158 and 1160

1. What is the GCF of 1158 and 1160?

Answer: GCF of 1158 and 1160 is 2.

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 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.

4. How to Find the GCF of 1158 and 1160?

Answer:

Greatest Common Factor of 1158 and 1160 = 2

Step 1: Find the prime factorization of 1158

1158 = 2 x 3 x 193

Step 2: Find the prime factorization of 1160

1160 = 2 x 2 x 2 x 5 x 29

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 1158 and 1160 is 2