Greatest Common Factor of 1156 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 1156, 1160 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1156 and 1160 is 4.

GCF(1156,1160) = 4

GCF of 1156 and 1160

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

GCF of:
and

Greatest Common Factor of 1156 and 1160

GCF of 1156 and 1160 is 4

Prime Factorization of 1156


2 1156
2 578
17 289
17 17
1

Prime factors of 1156 are 2,17. Prime factorization of 1156 in exponential form is:

1156 = 22×172

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 1156 and 1160 is 4

Greatest Common Factor of 1156 and 1160 by matching factors method

Factors of 1156

List of positive integer factors of 1156 that divides 1156 without a remainder.

1,2,4,17,34,68,289,578,1156

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 1156 and 1160. The biggest common factor number is the GCF number.
So the greatest common factor 1156 and 1160 is 4.

Also check out the Least Common Multiple of 1156 and 1160

Properties of GCF 1156 and 1160

(i) The GCF of 1156 and 1160 is associative

GCF of 1156 and 1160 = GCF of 1160 and 1156

Related Greatest Common Factor of 1156

Related Greatest Common Factor of 1160

Frequently Asked Questions on GCF of 1156 and 1160

1. What is the GCF of 1156 and 1160?

Answer: GCF of 1156 and 1160 is 4.

2. What are the Factors of 1156?

Answer: Factors of 1156 are 1, 2, 4, 17, 34, 68, 289, 578, 1156. There are 9 integers that are factors of 1156. The greatest factor of 1156 is 1156.

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 1156 and 1160?

Answer:

Greatest Common Factor of 1156 and 1160 = 4

Step 1: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

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 x 2 = 4

Step 4: Therefore, the greatest common factor of 1156 and 1160 is 4