Greatest Common Factor of 13356 and 13364

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 13356, 13364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13356 and 13364 is 4.

GCF(13356,13364) = 4

GCF of 13356 and 13364

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

GCF of:
and

Greatest Common Factor of 13356 and 13364

GCF of 13356 and 13364 is 4

Prime Factorization of 13356


2 13356
2 6678
3 3339
3 1113
7 371
53 53
1

Prime factors of 13356 are 2,3,7,53. Prime factorization of 13356 in exponential form is:

13356 = 22×32×71×531

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

∴ So by taking common prime factors GCF of 13356 and 13364 is 4

Greatest Common Factor of 13356 and 13364 by matching factors method

Factors of 13356

List of positive integer factors of 13356 that divides 13356 without a remainder.

1,2,3,4,6,7,9,12,14,18,21,28,36,42,53,63,84,106,126,159,212,252,318,371,477,636,742,954,1113,1484,1908,2226,3339,4452,6678,13356

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

Greatest Common Factor

We found the factors and prime factorization of 13356 and 13364. The biggest common factor number is the GCF number.
So the greatest common factor 13356 and 13364 is 4.

Also check out the Least Common Multiple of 13356 and 13364

Properties of GCF 13356 and 13364

(i) The GCF of 13356 and 13364 is associative

GCF of 13356 and 13364 = GCF of 13364 and 13356

Related Greatest Common Factor of 13356

Related Greatest Common Factor of 13364

Frequently Asked Questions on GCF of 13356 and 13364

1. What is the GCF of 13356 and 13364?

Answer: GCF of 13356 and 13364 is 4.

2. What are the Factors of 13356?

Answer: Factors of 13356 are 1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 53, 63, 84, 106, 126, 159, 212, 252, 318, 371, 477, 636, 742, 954, 1113, 1484, 1908, 2226, 3339, 4452, 6678, 13356. There are 36 integers that are factors of 13356. The greatest factor of 13356 is 13356.

3. 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.

4. How to Find the GCF of 13356 and 13364?

Answer:

Greatest Common Factor of 13356 and 13364 = 4

Step 1: Find the prime factorization of 13356

13356 = 2 x 2 x 3 x 3 x 7 x 53

Step 2: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

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 13356 and 13364 is 4