Greatest Common Factor of 8286 and 8289

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 8286, 8289 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8286 and 8289 is 3.

GCF(8286,8289) = 3

GCF of 8286 and 8289

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

GCF of:
and

Greatest Common Factor of 8286 and 8289

GCF of 8286 and 8289 is 3

Prime Factorization of 8286


2 8286
3 4143
1381 1381
1

Prime factors of 8286 are 2,3,1381. Prime factorization of 8286 in exponential form is:

8286 = 21×31×13811

Prime Factorization of 8289


3 8289
3 2763
3 921
307 307
1

Prime factors of 8289 are 3,307. Prime factorization of 8289 in exponential form is:

8289 = 33×3071

∴ So by taking common prime factors GCF of 8286 and 8289 is 3

Greatest Common Factor of 8286 and 8289 by matching factors method

Factors of 8286

List of positive integer factors of 8286 that divides 8286 without a remainder.

1,2,3,6,1381,2762,4143,8286

Factors of 8289

List of positive integer factors of 8289 that divides 8289 without a remainder.

1,3,9,27,307,921,2763,8289

Greatest Common Factor

We found the factors and prime factorization of 8286 and 8289. The biggest common factor number is the GCF number.
So the greatest common factor 8286 and 8289 is 3.

Also check out the Least Common Multiple of 8286 and 8289

Properties of GCF 8286 and 8289

(i) The GCF of 8286 and 8289 is associative

GCF of 8286 and 8289 = GCF of 8289 and 8286

Related Greatest Common Factor of 8286

Related Greatest Common Factor of 8289

Frequently Asked Questions on GCF of 8286 and 8289

1. What is the GCF of 8286 and 8289?

Answer: GCF of 8286 and 8289 is 3.

2. What are the Factors of 8286?

Answer: Factors of 8286 are 1, 2, 3, 6, 1381, 2762, 4143, 8286. There are 8 integers that are factors of 8286. The greatest factor of 8286 is 8286.

3. What are the Factors of 8289?

Answer: Factors of 8289 are 1, 3, 9, 27, 307, 921, 2763, 8289. There are 8 integers that are factors of 8289. The greatest factor of 8289 is 8289.

4. How to Find the GCF of 8286 and 8289?

Answer:

Greatest Common Factor of 8286 and 8289 = 3

Step 1: Find the prime factorization of 8286

8286 = 2 x 3 x 1381

Step 2: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8286 and 8289 is 3