Greatest Common Factor of 13422 and 13424

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 13422, 13424 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13422 and 13424 is 2.

GCF(13422,13424) = 2

GCF of 13422 and 13424

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

GCF of:
and

Greatest Common Factor of 13422 and 13424

GCF of 13422 and 13424 is 2

Prime Factorization of 13422


2 13422
3 6711
2237 2237
1

Prime factors of 13422 are 2,3,2237. Prime factorization of 13422 in exponential form is:

13422 = 21×31×22371

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

∴ So by taking common prime factors GCF of 13422 and 13424 is 2

Greatest Common Factor of 13422 and 13424 by matching factors method

Factors of 13422

List of positive integer factors of 13422 that divides 13422 without a remainder.

1,2,3,6,2237,4474,6711,13422

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

Greatest Common Factor

We found the factors and prime factorization of 13422 and 13424. The biggest common factor number is the GCF number.
So the greatest common factor 13422 and 13424 is 2.

Also check out the Least Common Multiple of 13422 and 13424

Properties of GCF 13422 and 13424

(i) The GCF of 13422 and 13424 is associative

GCF of 13422 and 13424 = GCF of 13424 and 13422

Related Greatest Common Factor of 13422

Related Greatest Common Factor of 13424

Frequently Asked Questions on GCF of 13422 and 13424

1. What is the GCF of 13422 and 13424?

Answer: GCF of 13422 and 13424 is 2.

2. What are the Factors of 13422?

Answer: Factors of 13422 are 1, 2, 3, 6, 2237, 4474, 6711, 13422. There are 8 integers that are factors of 13422. The greatest factor of 13422 is 13422.

3. 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.

4. How to Find the GCF of 13422 and 13424?

Answer:

Greatest Common Factor of 13422 and 13424 = 2

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13424

13424 = 2 x 2 x 2 x 2 x 839

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13422 and 13424 is 2