Greatest Common Factor of 13429 and 13436

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 13429, 13436 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13429 and 13436 is 1.

GCF(13429,13436) = 1

GCF of 13429 and 13436

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

GCF of:
and

Greatest Common Factor of 13429 and 13436

GCF of 13429 and 13436 is 1

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

Prime Factorization of 13436


2 13436
2 6718
3359 3359
1

Prime factors of 13436 are 2,3359. Prime factorization of 13436 in exponential form is:

13436 = 22×33591

∴ So by taking common prime factors GCF of 13429 and 13436 is 1

Greatest Common Factor of 13429 and 13436 by matching factors method

Factors of 13429

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

1,13,1033,13429

Factors of 13436

List of positive integer factors of 13436 that divides 13436 without a remainder.

1,2,4,3359,6718,13436

Greatest Common Factor

We found the factors and prime factorization of 13429 and 13436. The biggest common factor number is the GCF number.
So the greatest common factor 13429 and 13436 is 1.

Also check out the Least Common Multiple of 13429 and 13436

Properties of GCF 13429 and 13436

(i) The GCF of 13429 and 13436 is associative

GCF of 13429 and 13436 = GCF of 13436 and 13429

Related Greatest Common Factor of 13429

Related Greatest Common Factor of 13436

Frequently Asked Questions on GCF of 13429 and 13436

1. What is the GCF of 13429 and 13436?

Answer: GCF of 13429 and 13436 is 1.

2. 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.

3. What are the Factors of 13436?

Answer: Factors of 13436 are 1, 2, 4, 3359, 6718, 13436. There are 6 integers that are factors of 13436. The greatest factor of 13436 is 13436.

4. How to Find the GCF of 13429 and 13436?

Answer:

Greatest Common Factor of 13429 and 13436 = 1

Step 1: Find the prime factorization of 13429

13429 = 13 x 1033

Step 2: Find the prime factorization of 13436

13436 = 2 x 2 x 3359

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 13429 and 13436 is 1