Greatest Common Factor of 8384 and 8390

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 8384, 8390 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8384 and 8390 is 2.

GCF(8384,8390) = 2

GCF of 8384 and 8390

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

GCF of:
and

Greatest Common Factor of 8384 and 8390

GCF of 8384 and 8390 is 2

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

Prime Factorization of 8390


2 8390
5 4195
839 839
1

Prime factors of 8390 are 2,5,839. Prime factorization of 8390 in exponential form is:

8390 = 21×51×8391

∴ So by taking common prime factors GCF of 8384 and 8390 is 2

Greatest Common Factor of 8384 and 8390 by matching factors method

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Factors of 8390

List of positive integer factors of 8390 that divides 8390 without a remainder.

1,2,5,10,839,1678,4195,8390

Greatest Common Factor

We found the factors and prime factorization of 8384 and 8390. The biggest common factor number is the GCF number.
So the greatest common factor 8384 and 8390 is 2.

Also check out the Least Common Multiple of 8384 and 8390

Properties of GCF 8384 and 8390

(i) The GCF of 8384 and 8390 is associative

GCF of 8384 and 8390 = GCF of 8390 and 8384

Related Greatest Common Factor of 8384

Related Greatest Common Factor of 8390

Frequently Asked Questions on GCF of 8384 and 8390

1. What is the GCF of 8384 and 8390?

Answer: GCF of 8384 and 8390 is 2.

2. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

3. What are the Factors of 8390?

Answer: Factors of 8390 are 1, 2, 5, 10, 839, 1678, 4195, 8390. There are 8 integers that are factors of 8390. The greatest factor of 8390 is 8390.

4. How to Find the GCF of 8384 and 8390?

Answer:

Greatest Common Factor of 8384 and 8390 = 2

Step 1: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

Step 2: Find the prime factorization of 8390

8390 = 2 x 5 x 839

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8384 and 8390 is 2