Greatest Common Factor of 8385 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 8385, 8390 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8385 and 8390 is 5.

GCF(8385,8390) = 5

GCF of 8385 and 8390

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

GCF of:
and

Greatest Common Factor of 8385 and 8390

GCF of 8385 and 8390 is 5

Prime Factorization of 8385


3 8385
5 2795
13 559
43 43
1

Prime factors of 8385 are 3,5,13,43. Prime factorization of 8385 in exponential form is:

8385 = 31×51×131×431

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 8385 and 8390 is 5

Greatest Common Factor of 8385 and 8390 by matching factors method

Factors of 8385

List of positive integer factors of 8385 that divides 8385 without a remainder.

1,3,5,13,15,39,43,65,129,195,215,559,645,1677,2795,8385

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 8385 and 8390. The biggest common factor number is the GCF number.
So the greatest common factor 8385 and 8390 is 5.

Also check out the Least Common Multiple of 8385 and 8390

Properties of GCF 8385 and 8390

(i) The GCF of 8385 and 8390 is associative

GCF of 8385 and 8390 = GCF of 8390 and 8385

Related Greatest Common Factor of 8385

Related Greatest Common Factor of 8390

Frequently Asked Questions on GCF of 8385 and 8390

1. What is the GCF of 8385 and 8390?

Answer: GCF of 8385 and 8390 is 5.

2. What are the Factors of 8385?

Answer: Factors of 8385 are 1, 3, 5, 13, 15, 39, 43, 65, 129, 195, 215, 559, 645, 1677, 2795, 8385. There are 16 integers that are factors of 8385. The greatest factor of 8385 is 8385.

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 8385 and 8390?

Answer:

Greatest Common Factor of 8385 and 8390 = 5

Step 1: Find the prime factorization of 8385

8385 = 3 x 5 x 13 x 43

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 = 5

Step 4: Therefore, the greatest common factor of 8385 and 8390 is 5