Greatest Common Factor of 13338 and 13342

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 13338, 13342 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13338 and 13342 is 2.

GCF(13338,13342) = 2

GCF of 13338 and 13342

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

GCF of:
and

Greatest Common Factor of 13338 and 13342

GCF of 13338 and 13342 is 2

Prime Factorization of 13338


2 13338
3 6669
3 2223
3 741
13 247
19 19
1

Prime factors of 13338 are 2,3,13,19. Prime factorization of 13338 in exponential form is:

13338 = 21×33×131×191

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

∴ So by taking common prime factors GCF of 13338 and 13342 is 2

Greatest Common Factor of 13338 and 13342 by matching factors method

Factors of 13338

List of positive integer factors of 13338 that divides 13338 without a remainder.

1,2,3,6,9,13,18,19,26,27,38,39,54,57,78,114,117,171,234,247,342,351,494,513,702,741,1026,1482,2223,4446,6669,13338

Factors of 13342

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

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

Greatest Common Factor

We found the factors and prime factorization of 13338 and 13342. The biggest common factor number is the GCF number.
So the greatest common factor 13338 and 13342 is 2.

Also check out the Least Common Multiple of 13338 and 13342

Properties of GCF 13338 and 13342

(i) The GCF of 13338 and 13342 is associative

GCF of 13338 and 13342 = GCF of 13342 and 13338

Related Greatest Common Factor of 13338

Related Greatest Common Factor of 13342

Frequently Asked Questions on GCF of 13338 and 13342

1. What is the GCF of 13338 and 13342?

Answer: GCF of 13338 and 13342 is 2.

2. What are the Factors of 13338?

Answer: Factors of 13338 are 1, 2, 3, 6, 9, 13, 18, 19, 26, 27, 38, 39, 54, 57, 78, 114, 117, 171, 234, 247, 342, 351, 494, 513, 702, 741, 1026, 1482, 2223, 4446, 6669, 13338. There are 32 integers that are factors of 13338. The greatest factor of 13338 is 13338.

3. 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.

4. How to Find the GCF of 13338 and 13342?

Answer:

Greatest Common Factor of 13338 and 13342 = 2

Step 1: Find the prime factorization of 13338

13338 = 2 x 3 x 3 x 3 x 13 x 19

Step 2: Find the prime factorization of 13342

13342 = 2 x 7 x 953

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 13338 and 13342 is 2