Greatest Common Factor of 13407 and 13412

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 13407, 13412 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13407 and 13412 is 1.

GCF(13407,13412) = 1

GCF of 13407 and 13412

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

GCF of:
and

Greatest Common Factor of 13407 and 13412

GCF of 13407 and 13412 is 1

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

Prime Factorization of 13412


2 13412
2 6706
7 3353
479 479
1

Prime factors of 13412 are 2,7,479. Prime factorization of 13412 in exponential form is:

13412 = 22×71×4791

∴ So by taking common prime factors GCF of 13407 and 13412 is 1

Greatest Common Factor of 13407 and 13412 by matching factors method

Factors of 13407

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

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

Factors of 13412

List of positive integer factors of 13412 that divides 13412 without a remainder.

1,2,4,7,14,28,479,958,1916,3353,6706,13412

Greatest Common Factor

We found the factors and prime factorization of 13407 and 13412. The biggest common factor number is the GCF number.
So the greatest common factor 13407 and 13412 is 1.

Also check out the Least Common Multiple of 13407 and 13412

Properties of GCF 13407 and 13412

(i) The GCF of 13407 and 13412 is associative

GCF of 13407 and 13412 = GCF of 13412 and 13407

Related Greatest Common Factor of 13407

Related Greatest Common Factor of 13412

Frequently Asked Questions on GCF of 13407 and 13412

1. What is the GCF of 13407 and 13412?

Answer: GCF of 13407 and 13412 is 1.

2. 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.

3. What are the Factors of 13412?

Answer: Factors of 13412 are 1, 2, 4, 7, 14, 28, 479, 958, 1916, 3353, 6706, 13412. There are 12 integers that are factors of 13412. The greatest factor of 13412 is 13412.

4. How to Find the GCF of 13407 and 13412?

Answer:

Greatest Common Factor of 13407 and 13412 = 1

Step 1: Find the prime factorization of 13407

13407 = 3 x 41 x 109

Step 2: Find the prime factorization of 13412

13412 = 2 x 2 x 7 x 479

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 13407 and 13412 is 1