Greatest Common Factor of 13422 and 13423

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, 13423 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13422 and 13423 is 1.

GCF(13422,13423) = 1

GCF of 13422 and 13423

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

GCF of:
and

Greatest Common Factor of 13422 and 13423

GCF of 13422 and 13423 is 1

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 13423


31 13423
433 433
1

Prime factors of 13423 are 31,433. Prime factorization of 13423 in exponential form is:

13423 = 311×4331

∴ So by taking common prime factors GCF of 13422 and 13423 is 1

Greatest Common Factor of 13422 and 13423 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 13423

List of positive integer factors of 13423 that divides 13423 without a remainder.

1,31,433,13423

Greatest Common Factor

We found the factors and prime factorization of 13422 and 13423. The biggest common factor number is the GCF number.
So the greatest common factor 13422 and 13423 is 1.

Also check out the Least Common Multiple of 13422 and 13423

Properties of GCF 13422 and 13423

(i) The GCF of 13422 and 13423 is associative

GCF of 13422 and 13423 = GCF of 13423 and 13422

Related Greatest Common Factor of 13422

Related Greatest Common Factor of 13423

Frequently Asked Questions on GCF of 13422 and 13423

1. What is the GCF of 13422 and 13423?

Answer: GCF of 13422 and 13423 is 1.

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 13423?

Answer: Factors of 13423 are 1, 31, 433, 13423. There are 4 integers that are factors of 13423. The greatest factor of 13423 is 13423.

4. How to Find the GCF of 13422 and 13423?

Answer:

Greatest Common Factor of 13422 and 13423 = 1

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13423

13423 = 31 x 433

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 13422 and 13423 is 1