Greatest Common Factor of 13401 and 13407

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 13401, 13407 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13401 and 13407 is 3.

GCF(13401,13407) = 3

GCF of 13401 and 13407

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

GCF of:
and

Greatest Common Factor of 13401 and 13407

GCF of 13401 and 13407 is 3

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

Prime Factorization of 13407


3 13407
41 4469
109 109
1

Prime factors of 13407 are 3,41,109. Prime factorization of 13407 in exponential form is:

13407 = 31×411×1091

∴ So by taking common prime factors GCF of 13401 and 13407 is 3

Greatest Common Factor of 13401 and 13407 by matching factors method

Factors of 13401

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

1,3,9,1489,4467,13401

Factors of 13407

List of positive integer factors of 13407 that divides 13407 without a remainder.

1,3,41,109,123,327,4469,13407

Greatest Common Factor

We found the factors and prime factorization of 13401 and 13407. The biggest common factor number is the GCF number.
So the greatest common factor 13401 and 13407 is 3.

Also check out the Least Common Multiple of 13401 and 13407

Properties of GCF 13401 and 13407

(i) The GCF of 13401 and 13407 is associative

GCF of 13401 and 13407 = GCF of 13407 and 13401

Related Greatest Common Factor of 13401

Related Greatest Common Factor of 13407

Frequently Asked Questions on GCF of 13401 and 13407

1. What is the GCF of 13401 and 13407?

Answer: GCF of 13401 and 13407 is 3.

2. 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.

3. What are the Factors of 13407?

Answer: Factors of 13407 are 1, 3, 41, 109, 123, 327, 4469, 13407. There are 8 integers that are factors of 13407. The greatest factor of 13407 is 13407.

4. How to Find the GCF of 13401 and 13407?

Answer:

Greatest Common Factor of 13401 and 13407 = 3

Step 1: Find the prime factorization of 13401

13401 = 3 x 3 x 1489

Step 2: Find the prime factorization of 13407

13407 = 3 x 41 x 109

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

GCF = 3

Step 4: Therefore, the greatest common factor of 13401 and 13407 is 3