Greatest Common Factor of 11344 and 11350

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 11344, 11350 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11344 and 11350 is 2.

GCF(11344,11350) = 2

GCF of 11344 and 11350

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

GCF of:
and

Greatest Common Factor of 11344 and 11350

GCF of 11344 and 11350 is 2

Prime Factorization of 11344


2 11344
2 5672
2 2836
2 1418
709 709
1

Prime factors of 11344 are 2,709. Prime factorization of 11344 in exponential form is:

11344 = 24×7091

Prime Factorization of 11350


2 11350
5 5675
5 1135
227 227
1

Prime factors of 11350 are 2,5,227. Prime factorization of 11350 in exponential form is:

11350 = 21×52×2271

∴ So by taking common prime factors GCF of 11344 and 11350 is 2

Greatest Common Factor of 11344 and 11350 by matching factors method

Factors of 11344

List of positive integer factors of 11344 that divides 11344 without a remainder.

1,2,4,8,16,709,1418,2836,5672,11344

Factors of 11350

List of positive integer factors of 11350 that divides 11350 without a remainder.

1,2,5,10,25,50,227,454,1135,2270,5675,11350

Greatest Common Factor

We found the factors and prime factorization of 11344 and 11350. The biggest common factor number is the GCF number.
So the greatest common factor 11344 and 11350 is 2.

Also check out the Least Common Multiple of 11344 and 11350

Properties of GCF 11344 and 11350

(i) The GCF of 11344 and 11350 is associative

GCF of 11344 and 11350 = GCF of 11350 and 11344

Related Greatest Common Factor of 11344

Related Greatest Common Factor of 11350

Frequently Asked Questions on GCF of 11344 and 11350

1. What is the GCF of 11344 and 11350?

Answer: GCF of 11344 and 11350 is 2.

2. What are the Factors of 11344?

Answer: Factors of 11344 are 1, 2, 4, 8, 16, 709, 1418, 2836, 5672, 11344. There are 10 integers that are factors of 11344. The greatest factor of 11344 is 11344.

3. What are the Factors of 11350?

Answer: Factors of 11350 are 1, 2, 5, 10, 25, 50, 227, 454, 1135, 2270, 5675, 11350. There are 12 integers that are factors of 11350. The greatest factor of 11350 is 11350.

4. How to Find the GCF of 11344 and 11350?

Answer:

Greatest Common Factor of 11344 and 11350 = 2

Step 1: Find the prime factorization of 11344

11344 = 2 x 2 x 2 x 2 x 709

Step 2: Find the prime factorization of 11350

11350 = 2 x 5 x 5 x 227

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 11344 and 11350 is 2