Greatest Common Factor of 13342 and 13346

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, 13346 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13342 and 13346 is 2.

GCF(13342,13346) = 2

GCF of 13342 and 13346

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

GCF of:
and

Greatest Common Factor of 13342 and 13346

GCF of 13342 and 13346 is 2

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 13346


2 13346
6673 6673
1

Prime factors of 13346 are 2,6673. Prime factorization of 13346 in exponential form is:

13346 = 21×66731

∴ So by taking common prime factors GCF of 13342 and 13346 is 2

Greatest Common Factor of 13342 and 13346 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 13346

List of positive integer factors of 13346 that divides 13346 without a remainder.

1,2,6673,13346

Greatest Common Factor

We found the factors and prime factorization of 13342 and 13346. The biggest common factor number is the GCF number.
So the greatest common factor 13342 and 13346 is 2.

Also check out the Least Common Multiple of 13342 and 13346

Properties of GCF 13342 and 13346

(i) The GCF of 13342 and 13346 is associative

GCF of 13342 and 13346 = GCF of 13346 and 13342

Related Greatest Common Factor of 13342

Related Greatest Common Factor of 13346

Frequently Asked Questions on GCF of 13342 and 13346

1. What is the GCF of 13342 and 13346?

Answer: GCF of 13342 and 13346 is 2.

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 13346?

Answer: Factors of 13346 are 1, 2, 6673, 13346. There are 4 integers that are factors of 13346. The greatest factor of 13346 is 13346.

4. How to Find the GCF of 13342 and 13346?

Answer:

Greatest Common Factor of 13342 and 13346 = 2

Step 1: Find the prime factorization of 13342

13342 = 2 x 7 x 953

Step 2: Find the prime factorization of 13346

13346 = 2 x 6673

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

GCF = 2

Step 4: Therefore, the greatest common factor of 13342 and 13346 is 2