Greatest Common Factor of 13388 and 13392

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, 13392 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 13388 and 13392 is 4.

GCF(13388,13392) = 4

GCF of 13388 and 13392

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

GCF of:
and

Greatest Common Factor of 13388 and 13392

GCF of 13388 and 13392 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 13392


2 13392
2 6696
2 3348
2 1674
3 837
3 279
3 93
31 31
1

Prime factors of 13392 are 2,3,31. Prime factorization of 13392 in exponential form is:

13392 = 24×33×311

∴ So by taking common prime factors GCF of 13388 and 13392 is 4

Greatest Common Factor of 13388 and 13392 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 13392

List of positive integer factors of 13392 that divides 13392 without a remainder.

1,2,3,4,6,8,9,12,16,18,24,27,31,36,48,54,62,72,93,108,124,144,186,216,248,279,372,432,496,558,744,837,1116,1488,1674,2232,3348,4464,6696,13392

Greatest Common Factor

We found the factors and prime factorization of 13388 and 13392. The biggest common factor number is the GCF number.
So the greatest common factor 13388 and 13392 is 4.

Also check out the Least Common Multiple of 13388 and 13392

Properties of GCF 13388 and 13392

(i) The GCF of 13388 and 13392 is associative

GCF of 13388 and 13392 = GCF of 13392 and 13388

Related Greatest Common Factor of 13388

Related Greatest Common Factor of 13392

Frequently Asked Questions on GCF of 13388 and 13392

1. What is the GCF of 13388 and 13392?

Answer: GCF of 13388 and 13392 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 13392?

Answer: Factors of 13392 are 1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 31, 36, 48, 54, 62, 72, 93, 108, 124, 144, 186, 216, 248, 279, 372, 432, 496, 558, 744, 837, 1116, 1488, 1674, 2232, 3348, 4464, 6696, 13392. There are 40 integers that are factors of 13392. The greatest factor of 13392 is 13392.

4. How to Find the GCF of 13388 and 13392?

Answer:

Greatest Common Factor of 13388 and 13392 = 4

Step 1: Find the prime factorization of 13388

13388 = 2 x 2 x 3347

Step 2: Find the prime factorization of 13392

13392 = 2 x 2 x 2 x 2 x 3 x 3 x 3 x 31

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 13392 is 4