Greatest Common Factor of 8389 and 8395

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 8389, 8395 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8389 and 8395 is 1.

GCF(8389,8395) = 1

GCF of 8389 and 8395

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

GCF of:
and

Greatest Common Factor of 8389 and 8395

GCF of 8389 and 8395 is 1

Prime Factorization of 8389


8389 8389
1

Prime factors of 8389 are 8389. Prime factorization of 8389 in exponential form is:

8389 = 83891

Prime Factorization of 8395


5 8395
23 1679
73 73
1

Prime factors of 8395 are 5.Prime factorization of 8395 in exponential form is:

8395 = 51×231×731

∴ So by taking common prime factors GCF of 8389 and 8395 is 1

Greatest Common Factor of 8389 and 8395 by matching factors method

Factors of 8389

List of positive integer factors of 8389 that divides 8389 without a remainder.

1,8389

Factors of 8395

List of positive integer factors of 8395 that divides 8395 without a remainder.

1,5,23,73,115,365,1679,8395

Greatest Common Factor

We found the factors and prime factorization of 8389 and 8395. The biggest common factor number is the GCF number.
So the greatest common factor 8389 and 8395 is 1.

Also check out the Least Common Multiple of 8389 and 8395

Properties of GCF 8389 and 8395

(i) The GCF of 8389 and 8395 is associative

GCF of 8389 and 8395 = GCF of 8395 and 8389

Frequently Asked Questions on GCF of 8389 and 8395

1. What is the GCF of 8389 and 8395?

Answer: GCF of 8389 and 8395 is 1.

2. What are the Factors of 8389?

Answer: Factors of 8389 are 1, 8389. There are 2 integers that are factors of 8389. The greatest factor of 8389 is 8389.

3. What are the Factors of 8395?

Answer: Factors of 8395 are 1, 5, 23, 73, 115, 365, 1679, 8395. There are 8 integers that are factors of 8395. The greatest factor of 8395 is 8395.

4. How to Find the GCF of 8389 and 8395?

Answer:

Greatest Common Factor of 8389 and 8395 = 1

Step 1: Find the prime factorization of 8389

8389 = 8389

Step 2: Find the prime factorization of 8395

8395 = 5 x 23 x 73

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8389 and 8395 is 1