Greatest Common Factor of 13396 and 13401

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 13396, 13401 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13396 and 13401 is 1.

GCF(13396,13401) = 1

GCF of 13396 and 13401

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

GCF of:
and

Greatest Common Factor of 13396 and 13401

GCF of 13396 and 13401 is 1

Prime Factorization of 13396


2 13396
2 6698
17 3349
197 197
1

Prime factors of 13396 are 2,17,197. Prime factorization of 13396 in exponential form is:

13396 = 22×171×1971

Prime Factorization of 13401


3 13401
3 4467
1489 1489
1

Prime factors of 13401 are 3,1489. Prime factorization of 13401 in exponential form is:

13401 = 32×14891

∴ So by taking common prime factors GCF of 13396 and 13401 is 1

Greatest Common Factor of 13396 and 13401 by matching factors method

Factors of 13396

List of positive integer factors of 13396 that divides 13396 without a remainder.

1,2,4,17,34,68,197,394,788,3349,6698,13396

Factors of 13401

List of positive integer factors of 13401 that divides 13401 without a remainder.

1,3,9,1489,4467,13401

Greatest Common Factor

We found the factors and prime factorization of 13396 and 13401. The biggest common factor number is the GCF number.
So the greatest common factor 13396 and 13401 is 1.

Also check out the Least Common Multiple of 13396 and 13401

Properties of GCF 13396 and 13401

(i) The GCF of 13396 and 13401 is associative

GCF of 13396 and 13401 = GCF of 13401 and 13396

Related Greatest Common Factor of 13396

Related Greatest Common Factor of 13401

Frequently Asked Questions on GCF of 13396 and 13401

1. What is the GCF of 13396 and 13401?

Answer: GCF of 13396 and 13401 is 1.

2. What are the Factors of 13396?

Answer: Factors of 13396 are 1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396. There are 12 integers that are factors of 13396. The greatest factor of 13396 is 13396.

3. What are the Factors of 13401?

Answer: Factors of 13401 are 1, 3, 9, 1489, 4467, 13401. There are 6 integers that are factors of 13401. The greatest factor of 13401 is 13401.

4. How to Find the GCF of 13396 and 13401?

Answer:

Greatest Common Factor of 13396 and 13401 = 1

Step 1: Find the prime factorization of 13396

13396 = 2 x 2 x 17 x 197

Step 2: Find the prime factorization of 13401

13401 = 3 x 3 x 1489

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 13396 and 13401 is 1