Greatest Common Factor of 13353 and 13357

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, 13357 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13353 and 13357 is 1.

GCF(13353,13357) = 1

GCF of 13353 and 13357

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

GCF of:
and

Greatest Common Factor of 13353 and 13357

GCF of 13353 and 13357 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 13357


19 13357
19 703
37 37
1

Prime factors of 13357 are 19,37. Prime factorization of 13357 in exponential form is:

13357 = 192×371

∴ So by taking common prime factors GCF of 13353 and 13357 is 1

Greatest Common Factor of 13353 and 13357 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 13357

List of positive integer factors of 13357 that divides 13357 without a remainder.

1,19,37,361,703,13357

Greatest Common Factor

We found the factors and prime factorization of 13353 and 13357. The biggest common factor number is the GCF number.
So the greatest common factor 13353 and 13357 is 1.

Also check out the Least Common Multiple of 13353 and 13357

Properties of GCF 13353 and 13357

(i) The GCF of 13353 and 13357 is associative

GCF of 13353 and 13357 = GCF of 13357 and 13353

Related Greatest Common Factor of 13353

Related Greatest Common Factor of 13357

Frequently Asked Questions on GCF of 13353 and 13357

1. What is the GCF of 13353 and 13357?

Answer: GCF of 13353 and 13357 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 13357?

Answer: Factors of 13357 are 1, 19, 37, 361, 703, 13357. There are 6 integers that are factors of 13357. The greatest factor of 13357 is 13357.

4. How to Find the GCF of 13353 and 13357?

Answer:

Greatest Common Factor of 13353 and 13357 = 1

Step 1: Find the prime factorization of 13353

13353 = 3 x 4451

Step 2: Find the prime factorization of 13357

13357 = 19 x 19 x 37

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 13357 is 1