Greatest Common Factor of 13374 and 13382

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 13374, 13382 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13374 and 13382 is 2.

GCF(13374,13382) = 2

GCF of 13374 and 13382

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

GCF of:
and

Greatest Common Factor of 13374 and 13382

GCF of 13374 and 13382 is 2

Prime Factorization of 13374


2 13374
3 6687
3 2229
743 743
1

Prime factors of 13374 are 2,3,743. Prime factorization of 13374 in exponential form is:

13374 = 21×32×7431

Prime Factorization of 13382


2 13382
6691 6691
1

Prime factors of 13382 are 2,6691. Prime factorization of 13382 in exponential form is:

13382 = 21×66911

∴ So by taking common prime factors GCF of 13374 and 13382 is 2

Greatest Common Factor of 13374 and 13382 by matching factors method

Factors of 13374

List of positive integer factors of 13374 that divides 13374 without a remainder.

1,2,3,6,9,18,743,1486,2229,4458,6687,13374

Factors of 13382

List of positive integer factors of 13382 that divides 13382 without a remainder.

1,2,6691,13382

Greatest Common Factor

We found the factors and prime factorization of 13374 and 13382. The biggest common factor number is the GCF number.
So the greatest common factor 13374 and 13382 is 2.

Also check out the Least Common Multiple of 13374 and 13382

Properties of GCF 13374 and 13382

(i) The GCF of 13374 and 13382 is associative

GCF of 13374 and 13382 = GCF of 13382 and 13374

Related Greatest Common Factor of 13374

Related Greatest Common Factor of 13382

Frequently Asked Questions on GCF of 13374 and 13382

1. What is the GCF of 13374 and 13382?

Answer: GCF of 13374 and 13382 is 2.

2. What are the Factors of 13374?

Answer: Factors of 13374 are 1, 2, 3, 6, 9, 18, 743, 1486, 2229, 4458, 6687, 13374. There are 12 integers that are factors of 13374. The greatest factor of 13374 is 13374.

3. What are the Factors of 13382?

Answer: Factors of 13382 are 1, 2, 6691, 13382. There are 4 integers that are factors of 13382. The greatest factor of 13382 is 13382.

4. How to Find the GCF of 13374 and 13382?

Answer:

Greatest Common Factor of 13374 and 13382 = 2

Step 1: Find the prime factorization of 13374

13374 = 2 x 3 x 3 x 743

Step 2: Find the prime factorization of 13382

13382 = 2 x 6691

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 13374 and 13382 is 2