Greatest Common Factor of 13353 and 13361

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 13353, 13361 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13353 and 13361 is 1.

GCF(13353,13361) = 1

GCF of 13353 and 13361

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

GCF of:
and

Greatest Common Factor of 13353 and 13361

GCF of 13353 and 13361 is 1

Prime Factorization of 13353


3 13353
4451 4451
1

Prime factors of 13353 are 3,4451. Prime factorization of 13353 in exponential form is:

13353 = 31×44511

Prime Factorization of 13361


31 13361
431 431
1

Prime factors of 13361 are 31,431. Prime factorization of 13361 in exponential form is:

13361 = 311×4311

∴ So by taking common prime factors GCF of 13353 and 13361 is 1

Greatest Common Factor of 13353 and 13361 by matching factors method

Factors of 13353

List of positive integer factors of 13353 that divides 13353 without a remainder.

1,3,4451,13353

Factors of 13361

List of positive integer factors of 13361 that divides 13361 without a remainder.

1,31,431,13361

Greatest Common Factor

We found the factors and prime factorization of 13353 and 13361. The biggest common factor number is the GCF number.
So the greatest common factor 13353 and 13361 is 1.

Also check out the Least Common Multiple of 13353 and 13361

Properties of GCF 13353 and 13361

(i) The GCF of 13353 and 13361 is associative

GCF of 13353 and 13361 = GCF of 13361 and 13353

Related Greatest Common Factor of 13353

Related Greatest Common Factor of 13361

Frequently Asked Questions on GCF of 13353 and 13361

1. What is the GCF of 13353 and 13361?

Answer: GCF of 13353 and 13361 is 1.

2. What are the Factors of 13353?

Answer: Factors of 13353 are 1, 3, 4451, 13353. There are 4 integers that are factors of 13353. The greatest factor of 13353 is 13353.

3. What are the Factors of 13361?

Answer: Factors of 13361 are 1, 31, 431, 13361. There are 4 integers that are factors of 13361. The greatest factor of 13361 is 13361.

4. How to Find the GCF of 13353 and 13361?

Answer:

Greatest Common Factor of 13353 and 13361 = 1

Step 1: Find the prime factorization of 13353

13353 = 3 x 4451

Step 2: Find the prime factorization of 13361

13361 = 31 x 431

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 13353 and 13361 is 1