Greatest Common Factor of 1150 and 1156

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 1150, 1156 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1150 and 1156 is 2.

GCF(1150,1156) = 2

GCF of 1150 and 1156

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

GCF of:
and

Greatest Common Factor of 1150 and 1156

GCF of 1150 and 1156 is 2

Prime Factorization of 1150


2 1150
5 575
5 115
23 23
1

Prime factors of 1150 are 2,5,23. Prime factorization of 1150 in exponential form is:

1150 = 21×52×231

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

∴ So by taking common prime factors GCF of 1150 and 1156 is 2

Greatest Common Factor of 1150 and 1156 by matching factors method

Factors of 1150

List of positive integer factors of 1150 that divides 1150 without a remainder.

1,2,5,10,23,25,46,50,115,230,575,1150

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

Greatest Common Factor

We found the factors and prime factorization of 1150 and 1156. The biggest common factor number is the GCF number.
So the greatest common factor 1150 and 1156 is 2.

Also check out the Least Common Multiple of 1150 and 1156

Properties of GCF 1150 and 1156

(i) The GCF of 1150 and 1156 is associative

GCF of 1150 and 1156 = GCF of 1156 and 1150

Related Greatest Common Factor of 1150

Related Greatest Common Factor of 1156

Frequently Asked Questions on GCF of 1150 and 1156

1. What is the GCF of 1150 and 1156?

Answer: GCF of 1150 and 1156 is 2.

2. What are the Factors of 1150?

Answer: Factors of 1150 are 1, 2, 5, 10, 23, 25, 46, 50, 115, 230, 575, 1150. There are 12 integers that are factors of 1150. The greatest factor of 1150 is 1150.

3. 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.

4. How to Find the GCF of 1150 and 1156?

Answer:

Greatest Common Factor of 1150 and 1156 = 2

Step 1: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

Step 2: Find the prime factorization of 1156

1156 = 2 x 2 x 17 x 17

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 1150 and 1156 is 2