Greatest Common Factor of 13422 and 13429

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, 13429 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13422 and 13429 is 1.

GCF(13422,13429) = 1

GCF of 13422 and 13429

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

GCF of:
and

Greatest Common Factor of 13422 and 13429

GCF of 13422 and 13429 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 13429


13 13429
1033 1033
1

Prime factors of 13429 are 13,1033. Prime factorization of 13429 in exponential form is:

13429 = 131×10331

∴ So by taking common prime factors GCF of 13422 and 13429 is 1

Greatest Common Factor of 13422 and 13429 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 13429

List of positive integer factors of 13429 that divides 13429 without a remainder.

1,13,1033,13429

Greatest Common Factor

We found the factors and prime factorization of 13422 and 13429. The biggest common factor number is the GCF number.
So the greatest common factor 13422 and 13429 is 1.

Also check out the Least Common Multiple of 13422 and 13429

Properties of GCF 13422 and 13429

(i) The GCF of 13422 and 13429 is associative

GCF of 13422 and 13429 = GCF of 13429 and 13422

Related Greatest Common Factor of 13422

Related Greatest Common Factor of 13429

Frequently Asked Questions on GCF of 13422 and 13429

1. What is the GCF of 13422 and 13429?

Answer: GCF of 13422 and 13429 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 13429?

Answer: Factors of 13429 are 1, 13, 1033, 13429. There are 4 integers that are factors of 13429. The greatest factor of 13429 is 13429.

4. How to Find the GCF of 13422 and 13429?

Answer:

Greatest Common Factor of 13422 and 13429 = 1

Step 1: Find the prime factorization of 13422

13422 = 2 x 3 x 2237

Step 2: Find the prime factorization of 13429

13429 = 13 x 1033

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 13429 is 1