Greatest Common Factor of 8388 and 8391

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, 8391 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8388 and 8391 is 3.

GCF(8388,8391) = 3

GCF of 8388 and 8391

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

GCF of:
and

Greatest Common Factor of 8388 and 8391

GCF of 8388 and 8391 is 3

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 8391


3 8391
2797 2797
1

Prime factors of 8391 are 3,2797. Prime factorization of 8391 in exponential form is:

8391 = 31×27971

∴ So by taking common prime factors GCF of 8388 and 8391 is 3

Greatest Common Factor of 8388 and 8391 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 8391

List of positive integer factors of 8391 that divides 8391 without a remainder.

1,3,2797,8391

Greatest Common Factor

We found the factors and prime factorization of 8388 and 8391. The biggest common factor number is the GCF number.
So the greatest common factor 8388 and 8391 is 3.

Also check out the Least Common Multiple of 8388 and 8391

Properties of GCF 8388 and 8391

(i) The GCF of 8388 and 8391 is associative

GCF of 8388 and 8391 = GCF of 8391 and 8388

Related Greatest Common Factor of 8388

Related Greatest Common Factor of 8391

Frequently Asked Questions on GCF of 8388 and 8391

1. What is the GCF of 8388 and 8391?

Answer: GCF of 8388 and 8391 is 3.

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 8391?

Answer: Factors of 8391 are 1, 3, 2797, 8391. There are 4 integers that are factors of 8391. The greatest factor of 8391 is 8391.

4. How to Find the GCF of 8388 and 8391?

Answer:

Greatest Common Factor of 8388 and 8391 = 3

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 8391

8391 = 3 x 2797

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8388 and 8391 is 3