Greatest Common Factor of 8289 and 8291

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, 8291 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8289 and 8291 is 1.

GCF(8289,8291) = 1

GCF of 8289 and 8291

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

GCF of:
and

Greatest Common Factor of 8289 and 8291

GCF of 8289 and 8291 is 1

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 8291


8291 8291
1

Prime factors of 8291 are 8291. Prime factorization of 8291 in exponential form is:

8291 = 82911

∴ So by taking common prime factors GCF of 8289 and 8291 is 1

Greatest Common Factor of 8289 and 8291 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 8291

List of positive integer factors of 8291 that divides 8291 without a remainder.

1,8291

Greatest Common Factor

We found the factors and prime factorization of 8289 and 8291. The biggest common factor number is the GCF number.
So the greatest common factor 8289 and 8291 is 1.

Also check out the Least Common Multiple of 8289 and 8291

Properties of GCF 8289 and 8291

(i) The GCF of 8289 and 8291 is associative

GCF of 8289 and 8291 = GCF of 8291 and 8289

Related Greatest Common Factor of 8289

Related Greatest Common Factor of 8291

Frequently Asked Questions on GCF of 8289 and 8291

1. What is the GCF of 8289 and 8291?

Answer: GCF of 8289 and 8291 is 1.

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 8291?

Answer: Factors of 8291 are 1, 8291. There are 2 integers that are factors of 8291. The greatest factor of 8291 is 8291.

4. How to Find the GCF of 8289 and 8291?

Answer:

Greatest Common Factor of 8289 and 8291 = 1

Step 1: Find the prime factorization of 8289

8289 = 3 x 3 x 3 x 307

Step 2: Find the prime factorization of 8291

8291 = 8291

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 8289 and 8291 is 1