Greatest Common Factor of 11334 and 11338

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 11334, 11338 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11334 and 11338 is 2.

GCF(11334,11338) = 2

GCF of 11334 and 11338

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

GCF of:
and

Greatest Common Factor of 11334 and 11338

GCF of 11334 and 11338 is 2

Prime Factorization of 11334


2 11334
3 5667
1889 1889
1

Prime factors of 11334 are 2,3,1889. Prime factorization of 11334 in exponential form is:

11334 = 21×31×18891

Prime Factorization of 11338


2 11338
5669 5669
1

Prime factors of 11338 are 2,5669. Prime factorization of 11338 in exponential form is:

11338 = 21×56691

∴ So by taking common prime factors GCF of 11334 and 11338 is 2

Greatest Common Factor of 11334 and 11338 by matching factors method

Factors of 11334

List of positive integer factors of 11334 that divides 11334 without a remainder.

1,2,3,6,1889,3778,5667,11334

Factors of 11338

List of positive integer factors of 11338 that divides 11338 without a remainder.

1,2,5669,11338

Greatest Common Factor

We found the factors and prime factorization of 11334 and 11338. The biggest common factor number is the GCF number.
So the greatest common factor 11334 and 11338 is 2.

Also check out the Least Common Multiple of 11334 and 11338

Properties of GCF 11334 and 11338

(i) The GCF of 11334 and 11338 is associative

GCF of 11334 and 11338 = GCF of 11338 and 11334

Related Greatest Common Factor of 11334

Related Greatest Common Factor of 11338

Frequently Asked Questions on GCF of 11334 and 11338

1. What is the GCF of 11334 and 11338?

Answer: GCF of 11334 and 11338 is 2.

2. What are the Factors of 11334?

Answer: Factors of 11334 are 1, 2, 3, 6, 1889, 3778, 5667, 11334. There are 8 integers that are factors of 11334. The greatest factor of 11334 is 11334.

3. What are the Factors of 11338?

Answer: Factors of 11338 are 1, 2, 5669, 11338. There are 4 integers that are factors of 11338. The greatest factor of 11338 is 11338.

4. How to Find the GCF of 11334 and 11338?

Answer:

Greatest Common Factor of 11334 and 11338 = 2

Step 1: Find the prime factorization of 11334

11334 = 2 x 3 x 1889

Step 2: Find the prime factorization of 11338

11338 = 2 x 5669

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 11334 and 11338 is 2