Greatest Common Factor of 13404 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 13404, 13407 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13404 and 13407 is 3.

GCF(13404,13407) = 3

GCF of 13404 and 13407

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

GCF of:
and

Greatest Common Factor of 13404 and 13407

GCF of 13404 and 13407 is 3

Prime Factorization of 13404


2 13404
2 6702
3 3351
1117 1117
1

Prime factors of 13404 are 2,3,1117. Prime factorization of 13404 in exponential form is:

13404 = 22×31×11171

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 13404 and 13407 is 3

Greatest Common Factor of 13404 and 13407 by matching factors method

Factors of 13404

List of positive integer factors of 13404 that divides 13404 without a remainder.

1,2,3,4,6,12,1117,2234,3351,4468,6702,13404

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 13404 and 13407. The biggest common factor number is the GCF number.
So the greatest common factor 13404 and 13407 is 3.

Also check out the Least Common Multiple of 13404 and 13407

Properties of GCF 13404 and 13407

(i) The GCF of 13404 and 13407 is associative

GCF of 13404 and 13407 = GCF of 13407 and 13404

Related Greatest Common Factor of 13404

Related Greatest Common Factor of 13407

Frequently Asked Questions on GCF of 13404 and 13407

1. What is the GCF of 13404 and 13407?

Answer: GCF of 13404 and 13407 is 3.

2. What are the Factors of 13404?

Answer: Factors of 13404 are 1, 2, 3, 4, 6, 12, 1117, 2234, 3351, 4468, 6702, 13404. There are 12 integers that are factors of 13404. The greatest factor of 13404 is 13404.

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 13404 and 13407?

Answer:

Greatest Common Factor of 13404 and 13407 = 3

Step 1: Find the prime factorization of 13404

13404 = 2 x 2 x 3 x 1117

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 13404 and 13407 is 3