Greatest Common Factor of 13424 and 13431

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 13424, 13431 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13424 and 13431 is 1.

GCF(13424,13431) = 1

GCF of 13424 and 13431

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

GCF of:
and

Greatest Common Factor of 13424 and 13431

GCF of 13424 and 13431 is 1

Prime Factorization of 13424


2 13424
2 6712
2 3356
2 1678
839 839
1

Prime factors of 13424 are 2,839. Prime factorization of 13424 in exponential form is:

13424 = 24×8391

Prime Factorization of 13431


3 13431
11 4477
11 407
37 37
1

Prime factors of 13431 are 3,11,37. Prime factorization of 13431 in exponential form is:

13431 = 31×112×371

∴ So by taking common prime factors GCF of 13424 and 13431 is 1

Greatest Common Factor of 13424 and 13431 by matching factors method

Factors of 13424

List of positive integer factors of 13424 that divides 13424 without a remainder.

1,2,4,8,16,839,1678,3356,6712,13424

Factors of 13431

List of positive integer factors of 13431 that divides 13431 without a remainder.

1,3,11,33,37,111,121,363,407,1221,4477,13431

Greatest Common Factor

We found the factors and prime factorization of 13424 and 13431. The biggest common factor number is the GCF number.
So the greatest common factor 13424 and 13431 is 1.

Also check out the Least Common Multiple of 13424 and 13431

Properties of GCF 13424 and 13431

(i) The GCF of 13424 and 13431 is associative

GCF of 13424 and 13431 = GCF of 13431 and 13424

Related Greatest Common Factor of 13424

Related Greatest Common Factor of 13431

Frequently Asked Questions on GCF of 13424 and 13431

1. What is the GCF of 13424 and 13431?

Answer: GCF of 13424 and 13431 is 1.

2. What are the Factors of 13424?

Answer: Factors of 13424 are 1, 2, 4, 8, 16, 839, 1678, 3356, 6712, 13424. There are 10 integers that are factors of 13424. The greatest factor of 13424 is 13424.

3. What are the Factors of 13431?

Answer: Factors of 13431 are 1, 3, 11, 33, 37, 111, 121, 363, 407, 1221, 4477, 13431. There are 12 integers that are factors of 13431. The greatest factor of 13431 is 13431.

4. How to Find the GCF of 13424 and 13431?

Answer:

Greatest Common Factor of 13424 and 13431 = 1

Step 1: Find the prime factorization of 13424

13424 = 2 x 2 x 2 x 2 x 839

Step 2: Find the prime factorization of 13431

13431 = 3 x 11 x 11 x 37

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 13424 and 13431 is 1