Greatest Common Factor of 8289 and 8295

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 8289, 8295 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8289 and 8295 is 3.

GCF(8289,8295) = 3

GCF of 8289 and 8295

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

GCF of:
and

Greatest Common Factor of 8289 and 8295

GCF of 8289 and 8295 is 3

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

Prime Factorization of 8295


3 8295
5 2765
7 553
79 79
1

Prime factors of 8295 are 3,5,7,79. Prime factorization of 8295 in exponential form is:

8295 = 31×51×71×791

∴ So by taking common prime factors GCF of 8289 and 8295 is 3

Greatest Common Factor of 8289 and 8295 by matching factors method

Factors of 8289

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

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

Factors of 8295

List of positive integer factors of 8295 that divides 8295 without a remainder.

1,3,5,7,15,21,35,79,105,237,395,553,1185,1659,2765,8295

Greatest Common Factor

We found the factors and prime factorization of 8289 and 8295. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8295 is 3.

Also check out the Least Common Multiple of 8289 and 8295

Properties of GCF 8289 and 8295

(i) The GCF of 8289 and 8295 is associative

GCF of 8289 and 8295 = GCF of 8295 and 8289

Related Greatest Common Factor of 8289

Related Greatest Common Factor of 8295

Frequently Asked Questions on GCF of 8289 and 8295

1. What is the GCF of 8289 and 8295?

Answer: GCF of 8289 and 8295 is 3.

2. 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.

3. What are the Factors of 8295?

Answer: Factors of 8295 are 1, 3, 5, 7, 15, 21, 35, 79, 105, 237, 395, 553, 1185, 1659, 2765, 8295. There are 16 integers that are factors of 8295. The greatest factor of 8295 is 8295.

4. How to Find the GCF of 8289 and 8295?

Answer:

Greatest Common Factor of 8289 and 8295 = 3

Step 1: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

Step 2: Find the prime factorization of 8295

8295 = 3 x 5 x 7 x 79

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 8289 and 8295 is 3