Greatest Common Factor of 13366 and 13374

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 13366, 13374 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13366 and 13374 is 2.

GCF(13366,13374) = 2

GCF of 13366 and 13374

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

GCF of:
and

Greatest Common Factor of 13366 and 13374

GCF of 13366 and 13374 is 2

Prime Factorization of 13366


2 13366
41 6683
163 163
1

Prime factors of 13366 are 2,41,163. Prime factorization of 13366 in exponential form is:

13366 = 21×411×1631

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

∴ So by taking common prime factors GCF of 13366 and 13374 is 2

Greatest Common Factor of 13366 and 13374 by matching factors method

Factors of 13366

List of positive integer factors of 13366 that divides 13366 without a remainder.

1,2,41,82,163,326,6683,13366

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

Greatest Common Factor

We found the factors and prime factorization of 13366 and 13374. The biggest common factor number is the GCF number.
So the greatest common factor 13366 and 13374 is 2.

Also check out the Least Common Multiple of 13366 and 13374

Properties of GCF 13366 and 13374

(i) The GCF of 13366 and 13374 is associative

GCF of 13366 and 13374 = GCF of 13374 and 13366

Related Greatest Common Factor of 13366

Related Greatest Common Factor of 13374

Frequently Asked Questions on GCF of 13366 and 13374

1. What is the GCF of 13366 and 13374?

Answer: GCF of 13366 and 13374 is 2.

2. What are the Factors of 13366?

Answer: Factors of 13366 are 1, 2, 41, 82, 163, 326, 6683, 13366. There are 8 integers that are factors of 13366. The greatest factor of 13366 is 13366.

3. 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.

4. How to Find the GCF of 13366 and 13374?

Answer:

Greatest Common Factor of 13366 and 13374 = 2

Step 1: Find the prime factorization of 13366

13366 = 2 x 41 x 163

Step 2: Find the prime factorization of 13374

13374 = 2 x 3 x 3 x 743

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 13366 and 13374 is 2