Greatest Common Factor of 13342 and 13349

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 13342, 13349 i.e. 7 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13342 and 13349 is 7.

GCF(13342,13349) = 7

GCF of 13342 and 13349

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

GCF of:
and

Greatest Common Factor of 13342 and 13349

GCF of 13342 and 13349 is 7

Prime Factorization of 13342


2 13342
7 6671
953 953
1

Prime factors of 13342 are 2,7,953. Prime factorization of 13342 in exponential form is:

13342 = 21×71×9531

Prime Factorization of 13349


7 13349
1907 1907
1

Prime factors of 13349 are 7,1907. Prime factorization of 13349 in exponential form is:

13349 = 71×19071

∴ So by taking common prime factors GCF of 13342 and 13349 is 7

Greatest Common Factor of 13342 and 13349 by matching factors method

Factors of 13342

List of positive integer factors of 13342 that divides 13342 without a remainder.

1,2,7,14,953,1906,6671,13342

Factors of 13349

List of positive integer factors of 13349 that divides 13349 without a remainder.

1,7,1907,13349

Greatest Common Factor

We found the factors and prime factorization of 13342 and 13349. The biggest common factor number is the GCF number.
So the greatest common factor 13342 and 13349 is 7.

Also check out the Least Common Multiple of 13342 and 13349

Properties of GCF 13342 and 13349

(i) The GCF of 13342 and 13349 is associative

GCF of 13342 and 13349 = GCF of 13349 and 13342

Related Greatest Common Factor of 13342

Related Greatest Common Factor of 13349

Frequently Asked Questions on GCF of 13342 and 13349

1. What is the GCF of 13342 and 13349?

Answer: GCF of 13342 and 13349 is 7.

2. What are the Factors of 13342?

Answer: Factors of 13342 are 1, 2, 7, 14, 953, 1906, 6671, 13342. There are 8 integers that are factors of 13342. The greatest factor of 13342 is 13342.

3. What are the Factors of 13349?

Answer: Factors of 13349 are 1, 7, 1907, 13349. There are 4 integers that are factors of 13349. The greatest factor of 13349 is 13349.

4. How to Find the GCF of 13342 and 13349?

Answer:

Greatest Common Factor of 13342 and 13349 = 7

Step 1: Find the prime factorization of 13342

13342 = 2 x 7 x 953

Step 2: Find the prime factorization of 13349

13349 = 7 x 1907

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 7

Step 4: Therefore, the greatest common factor of 13342 and 13349 is 7