Greatest Common Factor of 11316 and 11322

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 11316, 11322 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 11316 and 11322 is 6.

GCF(11316,11322) = 6

GCF of 11316 and 11322

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

GCF of:
and

Greatest Common Factor of 11316 and 11322

GCF of 11316 and 11322 is 6

Prime Factorization of 11316


2 11316
2 5658
3 2829
23 943
41 41
1

Prime factors of 11316 are 2,3,23,41. Prime factorization of 11316 in exponential form is:

11316 = 22×31×231×411

Prime Factorization of 11322


2 11322
3 5661
3 1887
17 629
37 37
1

Prime factors of 11322 are 2,3,17,37. Prime factorization of 11322 in exponential form is:

11322 = 21×32×171×371

∴ So by taking common prime factors GCF of 11316 and 11322 is 6

Greatest Common Factor of 11316 and 11322 by matching factors method

Factors of 11316

List of positive integer factors of 11316 that divides 11316 without a remainder.

1,2,3,4,6,12,23,41,46,69,82,92,123,138,164,246,276,492,943,1886,2829,3772,5658,11316

Factors of 11322

List of positive integer factors of 11322 that divides 11322 without a remainder.

1,2,3,6,9,17,18,34,37,51,74,102,111,153,222,306,333,629,666,1258,1887,3774,5661,11322

Greatest Common Factor

We found the factors and prime factorization of 11316 and 11322. The biggest common factor number is the GCF number.
So the greatest common factor 11316 and 11322 is 6.

Also check out the Least Common Multiple of 11316 and 11322

Properties of GCF 11316 and 11322

(i) The GCF of 11316 and 11322 is associative

GCF of 11316 and 11322 = GCF of 11322 and 11316

Related Greatest Common Factor of 11316

Related Greatest Common Factor of 11322

Frequently Asked Questions on GCF of 11316 and 11322

1. What is the GCF of 11316 and 11322?

Answer: GCF of 11316 and 11322 is 6.

2. What are the Factors of 11316?

Answer: Factors of 11316 are 1, 2, 3, 4, 6, 12, 23, 41, 46, 69, 82, 92, 123, 138, 164, 246, 276, 492, 943, 1886, 2829, 3772, 5658, 11316. There are 24 integers that are factors of 11316. The greatest factor of 11316 is 11316.

3. What are the Factors of 11322?

Answer: Factors of 11322 are 1, 2, 3, 6, 9, 17, 18, 34, 37, 51, 74, 102, 111, 153, 222, 306, 333, 629, 666, 1258, 1887, 3774, 5661, 11322. There are 24 integers that are factors of 11322. The greatest factor of 11322 is 11322.

4. How to Find the GCF of 11316 and 11322?

Answer:

Greatest Common Factor of 11316 and 11322 = 6

Step 1: Find the prime factorization of 11316

11316 = 2 x 2 x 3 x 23 x 41

Step 2: Find the prime factorization of 11322

11322 = 2 x 3 x 3 x 17 x 37

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 11316 and 11322 is 6