Greatest Common Factor of 13336 and 13341

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 13336, 13341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13336 and 13341 is 1.

GCF(13336,13341) = 1

GCF of 13336 and 13341

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

GCF of:
and

Greatest Common Factor of 13336 and 13341

GCF of 13336 and 13341 is 1

Prime Factorization of 13336


2 13336
2 6668
2 3334
1667 1667
1

Prime factors of 13336 are 2,1667. Prime factorization of 13336 in exponential form is:

13336 = 23×16671

Prime Factorization of 13341


3 13341
4447 4447
1

Prime factors of 13341 are 3,4447. Prime factorization of 13341 in exponential form is:

13341 = 31×44471

∴ So by taking common prime factors GCF of 13336 and 13341 is 1

Greatest Common Factor of 13336 and 13341 by matching factors method

Factors of 13336

List of positive integer factors of 13336 that divides 13336 without a remainder.

1,2,4,8,1667,3334,6668,13336

Factors of 13341

List of positive integer factors of 13341 that divides 13341 without a remainder.

1,3,4447,13341

Greatest Common Factor

We found the factors and prime factorization of 13336 and 13341. The biggest common factor number is the GCF number.
So the greatest common factor 13336 and 13341 is 1.

Also check out the Least Common Multiple of 13336 and 13341

Properties of GCF 13336 and 13341

(i) The GCF of 13336 and 13341 is associative

GCF of 13336 and 13341 = GCF of 13341 and 13336

Frequently Asked Questions on GCF of 13336 and 13341

1. What is the GCF of 13336 and 13341?

Answer: GCF of 13336 and 13341 is 1.

2. What are the Factors of 13336?

Answer: Factors of 13336 are 1, 2, 4, 8, 1667, 3334, 6668, 13336. There are 8 integers that are factors of 13336. The greatest factor of 13336 is 13336.

3. What are the Factors of 13341?

Answer: Factors of 13341 are 1, 3, 4447, 13341. There are 4 integers that are factors of 13341. The greatest factor of 13341 is 13341.

4. How to Find the GCF of 13336 and 13341?

Answer:

Greatest Common Factor of 13336 and 13341 = 1

Step 1: Find the prime factorization of 13336

13336 = 2 x 2 x 2 x 1667

Step 2: Find the prime factorization of 13341

13341 = 3 x 4447

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 13336 and 13341 is 1