Greatest Common Factor of 13364 and 13369

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 13364, 13369 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13364 and 13369 is 1.

GCF(13364,13369) = 1

GCF of 13364 and 13369

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

GCF of:
and

Greatest Common Factor of 13364 and 13369

GCF of 13364 and 13369 is 1

Prime Factorization of 13364


2 13364
2 6682
13 3341
257 257
1

Prime factors of 13364 are 2,13,257. Prime factorization of 13364 in exponential form is:

13364 = 22×131×2571

Prime Factorization of 13369


29 13369
461 461
1

Prime factors of 13369 are 29,461. Prime factorization of 13369 in exponential form is:

13369 = 291×4611

∴ So by taking common prime factors GCF of 13364 and 13369 is 1

Greatest Common Factor of 13364 and 13369 by matching factors method

Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1,2,4,13,26,52,257,514,1028,3341,6682,13364

Factors of 13369

List of positive integer factors of 13369 that divides 13369 without a remainder.

1,29,461,13369

Greatest Common Factor

We found the factors and prime factorization of 13364 and 13369. The biggest common factor number is the GCF number.
So the greatest common factor 13364 and 13369 is 1.

Also check out the Least Common Multiple of 13364 and 13369

Properties of GCF 13364 and 13369

(i) The GCF of 13364 and 13369 is associative

GCF of 13364 and 13369 = GCF of 13369 and 13364

Related Greatest Common Factor of 13364

Related Greatest Common Factor of 13369

Frequently Asked Questions on GCF of 13364 and 13369

1. What is the GCF of 13364 and 13369?

Answer: GCF of 13364 and 13369 is 1.

2. What are the Factors of 13364?

Answer: Factors of 13364 are 1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364. There are 12 integers that are factors of 13364. The greatest factor of 13364 is 13364.

3. What are the Factors of 13369?

Answer: Factors of 13369 are 1, 29, 461, 13369. There are 4 integers that are factors of 13369. The greatest factor of 13369 is 13369.

4. How to Find the GCF of 13364 and 13369?

Answer:

Greatest Common Factor of 13364 and 13369 = 1

Step 1: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

Step 2: Find the prime factorization of 13369

13369 = 29 x 461

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 13364 and 13369 is 1