Greatest Common Factor of 13364 and 13368

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 13364, 13368 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13364 and 13368 is 4.

GCF(13364,13368) = 4

GCF of 13364 and 13368

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

GCF of:
and

Greatest Common Factor of 13364 and 13368

GCF of 13364 and 13368 is 4

Prime Factorization of 13364


2 13364
2 6682
13 3341
257 257
1

Prime factors of 13364 are 2,13,257. Prime factorization of 13364 in exponential form is:

13364 = 22×131×2571

Prime Factorization of 13368


2 13368
2 6684
2 3342
3 1671
557 557
1

Prime factors of 13368 are 2,3,557. Prime factorization of 13368 in exponential form is:

13368 = 23×31×5571

∴ So by taking common prime factors GCF of 13364 and 13368 is 4

Greatest Common Factor of 13364 and 13368 by matching factors method

Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1,2,4,13,26,52,257,514,1028,3341,6682,13364

Factors of 13368

List of positive integer factors of 13368 that divides 13368 without a remainder.

1,2,3,4,6,8,12,24,557,1114,1671,2228,3342,4456,6684,13368

Greatest Common Factor

We found the factors and prime factorization of 13364 and 13368. The biggest common factor number is the GCF number.
So the greatest common factor 13364 and 13368 is 4.

Also check out the Least Common Multiple of 13364 and 13368

Properties of GCF 13364 and 13368

(i) The GCF of 13364 and 13368 is associative

GCF of 13364 and 13368 = GCF of 13368 and 13364

Related Greatest Common Factor of 13364

Related Greatest Common Factor of 13368

Frequently Asked Questions on GCF of 13364 and 13368

1. What is the GCF of 13364 and 13368?

Answer: GCF of 13364 and 13368 is 4.

2. What are the Factors of 13364?

Answer: Factors of 13364 are 1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364. There are 12 integers that are factors of 13364. The greatest factor of 13364 is 13364.

3. What are the Factors of 13368?

Answer: Factors of 13368 are 1, 2, 3, 4, 6, 8, 12, 24, 557, 1114, 1671, 2228, 3342, 4456, 6684, 13368. There are 16 integers that are factors of 13368. The greatest factor of 13368 is 13368.

4. How to Find the GCF of 13364 and 13368?

Answer:

Greatest Common Factor of 13364 and 13368 = 4

Step 1: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

Step 2: Find the prime factorization of 13368

13368 = 2 x 2 x 2 x 3 x 557

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13364 and 13368 is 4