Greatest Common Factor of 13364 and 13372

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 13364, 13372 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13364 and 13372 is 4.

GCF(13364,13372) = 4

GCF of 13364 and 13372

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

GCF of:
and

Greatest Common Factor of 13364 and 13372

GCF of 13364 and 13372 is 4

Prime Factorization of 13364


2 13364
2 6682
13 3341
257 257
1

Prime factors of 13364 are 2,13,257. Prime factorization of 13364 in exponential form is:

13364 = 22×131×2571

Prime Factorization of 13372


2 13372
2 6686
3343 3343
1

Prime factors of 13372 are 2,3343. Prime factorization of 13372 in exponential form is:

13372 = 22×33431

∴ So by taking common prime factors GCF of 13364 and 13372 is 4

Greatest Common Factor of 13364 and 13372 by matching factors method

Factors of 13364

List of positive integer factors of 13364 that divides 13364 without a remainder.

1,2,4,13,26,52,257,514,1028,3341,6682,13364

Factors of 13372

List of positive integer factors of 13372 that divides 13372 without a remainder.

1,2,4,3343,6686,13372

Greatest Common Factor

We found the factors and prime factorization of 13364 and 13372. The biggest common factor number is the GCF number.
So the greatest common factor 13364 and 13372 is 4.

Also check out the Least Common Multiple of 13364 and 13372

Properties of GCF 13364 and 13372

(i) The GCF of 13364 and 13372 is associative

GCF of 13364 and 13372 = GCF of 13372 and 13364

Related Greatest Common Factor of 13364

Related Greatest Common Factor of 13372

Frequently Asked Questions on GCF of 13364 and 13372

1. What is the GCF of 13364 and 13372?

Answer: GCF of 13364 and 13372 is 4.

2. What are the Factors of 13364?

Answer: Factors of 13364 are 1, 2, 4, 13, 26, 52, 257, 514, 1028, 3341, 6682, 13364. There are 12 integers that are factors of 13364. The greatest factor of 13364 is 13364.

3. What are the Factors of 13372?

Answer: Factors of 13372 are 1, 2, 4, 3343, 6686, 13372. There are 6 integers that are factors of 13372. The greatest factor of 13372 is 13372.

4. How to Find the GCF of 13364 and 13372?

Answer:

Greatest Common Factor of 13364 and 13372 = 4

Step 1: Find the prime factorization of 13364

13364 = 2 x 2 x 13 x 257

Step 2: Find the prime factorization of 13372

13372 = 2 x 2 x 3343

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 13364 and 13372 is 4