Greatest Common Factor of 13388 and 13396

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 13388, 13396 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13388 and 13396 is 4.

GCF(13388,13396) = 4

GCF of 13388 and 13396

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

GCF of:
and

Greatest Common Factor of 13388 and 13396

GCF of 13388 and 13396 is 4

Prime Factorization of 13388


2 13388
2 6694
3347 3347
1

Prime factors of 13388 are 2,3347. Prime factorization of 13388 in exponential form is:

13388 = 22×33471

Prime Factorization of 13396


2 13396
2 6698
17 3349
197 197
1

Prime factors of 13396 are 2,17,197. Prime factorization of 13396 in exponential form is:

13396 = 22×171×1971

∴ So by taking common prime factors GCF of 13388 and 13396 is 4

Greatest Common Factor of 13388 and 13396 by matching factors method

Factors of 13388

List of positive integer factors of 13388 that divides 13388 without a remainder.

1,2,4,3347,6694,13388

Factors of 13396

List of positive integer factors of 13396 that divides 13396 without a remainder.

1,2,4,17,34,68,197,394,788,3349,6698,13396

Greatest Common Factor

We found the factors and prime factorization of 13388 and 13396. The biggest common factor number is the GCF number.
So the greatest common factor 13388 and 13396 is 4.

Also check out the Least Common Multiple of 13388 and 13396

Properties of GCF 13388 and 13396

(i) The GCF of 13388 and 13396 is associative

GCF of 13388 and 13396 = GCF of 13396 and 13388

Related Greatest Common Factor of 13388

Related Greatest Common Factor of 13396

Frequently Asked Questions on GCF of 13388 and 13396

1. What is the GCF of 13388 and 13396?

Answer: GCF of 13388 and 13396 is 4.

2. What are the Factors of 13388?

Answer: Factors of 13388 are 1, 2, 4, 3347, 6694, 13388. There are 6 integers that are factors of 13388. The greatest factor of 13388 is 13388.

3. What are the Factors of 13396?

Answer: Factors of 13396 are 1, 2, 4, 17, 34, 68, 197, 394, 788, 3349, 6698, 13396. There are 12 integers that are factors of 13396. The greatest factor of 13396 is 13396.

4. How to Find the GCF of 13388 and 13396?

Answer:

Greatest Common Factor of 13388 and 13396 = 4

Step 1: Find the prime factorization of 13388

13388 = 2 x 2 x 3347

Step 2: Find the prime factorization of 13396

13396 = 2 x 2 x 17 x 197

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 13388 and 13396 is 4