Greatest Common Factor of 8381 and 8385

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 8381, 8385 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8381 and 8385 is 1.

GCF(8381,8385) = 1

GCF of 8381 and 8385

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

GCF of:
and

Greatest Common Factor of 8381 and 8385

GCF of 8381 and 8385 is 1

Prime Factorization of 8381


17 8381
17 493
29 29
1

Prime factors of 8381 are 17,29. Prime factorization of 8381 in exponential form is:

8381 = 172×291

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

∴ So by taking common prime factors GCF of 8381 and 8385 is 1

Greatest Common Factor of 8381 and 8385 by matching factors method

Factors of 8381

List of positive integer factors of 8381 that divides 8381 without a remainder.

1,17,29,289,493,8381

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

Greatest Common Factor

We found the factors and prime factorization of 8381 and 8385. The biggest common factor number is the GCF number.
So the greatest common factor 8381 and 8385 is 1.

Also check out the Least Common Multiple of 8381 and 8385

Properties of GCF 8381 and 8385

(i) The GCF of 8381 and 8385 is associative

GCF of 8381 and 8385 = GCF of 8385 and 8381

Related Greatest Common Factor of 8381

Related Greatest Common Factor of 8385

Frequently Asked Questions on GCF of 8381 and 8385

1. What is the GCF of 8381 and 8385?

Answer: GCF of 8381 and 8385 is 1.

2. What are the Factors of 8381?

Answer: Factors of 8381 are 1, 17, 29, 289, 493, 8381. There are 6 integers that are factors of 8381. The greatest factor of 8381 is 8381.

3. 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.

4. How to Find the GCF of 8381 and 8385?

Answer:

Greatest Common Factor of 8381 and 8385 = 1

Step 1: Find the prime factorization of 8381

8381 = 17 x 17 x 29

Step 2: Find the prime factorization of 8385

8385 = 3 x 5 x 13 x 43

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 8381 and 8385 is 1