Greatest Common Factor of 1144 and 1150

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 1144, 1150 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 1144 and 1150 is 2.

GCF(1144,1150) = 2

GCF of 1144 and 1150

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

GCF of:
and

Greatest Common Factor of 1144 and 1150

GCF of 1144 and 1150 is 2

Prime Factorization of 1144


2 1144
2 572
2 286
11 143
13 13
1

Prime factors of 1144 are 2,11,13. Prime factorization of 1144 in exponential form is:

1144 = 23×111×131

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

∴ So by taking common prime factors GCF of 1144 and 1150 is 2

Greatest Common Factor of 1144 and 1150 by matching factors method

Factors of 1144

List of positive integer factors of 1144 that divides 1144 without a remainder.

1,2,4,8,11,13,22,26,44,52,88,104,143,286,572,1144

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

Greatest Common Factor

We found the factors and prime factorization of 1144 and 1150. The biggest common factor number is the GCF number.
So the greatest common factor 1144 and 1150 is 2.

Also check out the Least Common Multiple of 1144 and 1150

Properties of GCF 1144 and 1150

(i) The GCF of 1144 and 1150 is associative

GCF of 1144 and 1150 = GCF of 1150 and 1144

Related Greatest Common Factor of 1144

Related Greatest Common Factor of 1150

Frequently Asked Questions on GCF of 1144 and 1150

1. What is the GCF of 1144 and 1150?

Answer: GCF of 1144 and 1150 is 2.

2. What are the Factors of 1144?

Answer: Factors of 1144 are 1, 2, 4, 8, 11, 13, 22, 26, 44, 52, 88, 104, 143, 286, 572, 1144. There are 16 integers that are factors of 1144. The greatest factor of 1144 is 1144.

3. 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.

4. How to Find the GCF of 1144 and 1150?

Answer:

Greatest Common Factor of 1144 and 1150 = 2

Step 1: Find the prime factorization of 1144

1144 = 2 x 2 x 2 x 11 x 13

Step 2: Find the prime factorization of 1150

1150 = 2 x 5 x 5 x 23

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 1144 and 1150 is 2