Greatest Common Factor of 8388 and 8394

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 8388, 8394 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8388 and 8394 is 6.

GCF(8388,8394) = 6

GCF of 8388 and 8394

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

GCF of:
and

Greatest Common Factor of 8388 and 8394

GCF of 8388 and 8394 is 6

Prime Factorization of 8388


2 8388
2 4194
3 2097
3 699
233 233
1

Prime factors of 8388 are 2,3,233. Prime factorization of 8388 in exponential form is:

8388 = 22×32×2331

Prime Factorization of 8394


2 8394
3 4197
1399 1399
1

Prime factors of 8394 are 2,3,1399. Prime factorization of 8394 in exponential form is:

8394 = 21×31×13991

∴ So by taking common prime factors GCF of 8388 and 8394 is 6

Greatest Common Factor of 8388 and 8394 by matching factors method

Factors of 8388

List of positive integer factors of 8388 that divides 8388 without a remainder.

1,2,3,4,6,9,12,18,36,233,466,699,932,1398,2097,2796,4194,8388

Factors of 8394

List of positive integer factors of 8394 that divides 8394 without a remainder.

1,2,3,6,1399,2798,4197,8394

Greatest Common Factor

We found the factors and prime factorization of 8388 and 8394. The biggest common factor number is the GCF number.
So the greatest common factor 8388 and 8394 is 6.

Also check out the Least Common Multiple of 8388 and 8394

Properties of GCF 8388 and 8394

(i) The GCF of 8388 and 8394 is associative

GCF of 8388 and 8394 = GCF of 8394 and 8388

Related Greatest Common Factor of 8388

Related Greatest Common Factor of 8394

Frequently Asked Questions on GCF of 8388 and 8394

1. What is the GCF of 8388 and 8394?

Answer: GCF of 8388 and 8394 is 6.

2. What are the Factors of 8388?

Answer: Factors of 8388 are 1, 2, 3, 4, 6, 9, 12, 18, 36, 233, 466, 699, 932, 1398, 2097, 2796, 4194, 8388. There are 18 integers that are factors of 8388. The greatest factor of 8388 is 8388.

3. What are the Factors of 8394?

Answer: Factors of 8394 are 1, 2, 3, 6, 1399, 2798, 4197, 8394. There are 8 integers that are factors of 8394. The greatest factor of 8394 is 8394.

4. How to Find the GCF of 8388 and 8394?

Answer:

Greatest Common Factor of 8388 and 8394 = 6

Step 1: Find the prime factorization of 8388

8388 = 2 x 2 x 3 x 3 x 233

Step 2: Find the prime factorization of 8394

8394 = 2 x 3 x 1399

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8388 and 8394 is 6