Greatest Common Factor of 8390 and 8396

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 8390, 8396 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8390 and 8396 is 2.

GCF(8390,8396) = 2

GCF of 8390 and 8396

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

GCF of:
and

Greatest Common Factor of 8390 and 8396

GCF of 8390 and 8396 is 2

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

Prime Factorization of 8396


2 8396
2 4198
2099 2099
1

Prime factors of 8396 are 2,2099. Prime factorization of 8396 in exponential form is:

8396 = 22×20991

∴ So by taking common prime factors GCF of 8390 and 8396 is 2

Greatest Common Factor of 8390 and 8396 by matching factors method

Factors of 8390

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

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

Factors of 8396

List of positive integer factors of 8396 that divides 8396 without a remainder.

1,2,4,2099,4198,8396

Greatest Common Factor

We found the factors and prime factorization of 8390 and 8396. The biggest common factor number is the GCF number.
So the greatest common factor 8390 and 8396 is 2.

Also check out the Least Common Multiple of 8390 and 8396

Properties of GCF 8390 and 8396

(i) The GCF of 8390 and 8396 is associative

GCF of 8390 and 8396 = GCF of 8396 and 8390

Related Greatest Common Factor of 8390

Related Greatest Common Factor of 8396

Frequently Asked Questions on GCF of 8390 and 8396

1. What is the GCF of 8390 and 8396?

Answer: GCF of 8390 and 8396 is 2.

2. 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.

3. What are the Factors of 8396?

Answer: Factors of 8396 are 1, 2, 4, 2099, 4198, 8396. There are 6 integers that are factors of 8396. The greatest factor of 8396 is 8396.

4. How to Find the GCF of 8390 and 8396?

Answer:

Greatest Common Factor of 8390 and 8396 = 2

Step 1: Find the prime factorization of 8390

8390 = 2 x 5 x 839

Step 2: Find the prime factorization of 8396

8396 = 2 x 2 x 2099

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 8390 and 8396 is 2