Greatest Common Factor of 8337 and 8343

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 8337, 8343 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8337 and 8343 is 3.

GCF(8337,8343) = 3

GCF of 8337 and 8343

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

GCF of:
and

Greatest Common Factor of 8337 and 8343

GCF of 8337 and 8343 is 3

Prime Factorization of 8337


3 8337
7 2779
397 397
1

Prime factors of 8337 are 3,7,397. Prime factorization of 8337 in exponential form is:

8337 = 31×71×3971

Prime Factorization of 8343


3 8343
3 2781
3 927
3 309
103 103
1

Prime factors of 8343 are 3,103. Prime factorization of 8343 in exponential form is:

8343 = 34×1031

∴ So by taking common prime factors GCF of 8337 and 8343 is 3

Greatest Common Factor of 8337 and 8343 by matching factors method

Factors of 8337

List of positive integer factors of 8337 that divides 8337 without a remainder.

1,3,7,21,397,1191,2779,8337

Factors of 8343

List of positive integer factors of 8343 that divides 8343 without a remainder.

1,3,9,27,81,103,309,927,2781,8343

Greatest Common Factor

We found the factors and prime factorization of 8337 and 8343. The biggest common factor number is the GCF number.
So the greatest common factor 8337 and 8343 is 3.

Also check out the Least Common Multiple of 8337 and 8343

Properties of GCF 8337 and 8343

(i) The GCF of 8337 and 8343 is associative

GCF of 8337 and 8343 = GCF of 8343 and 8337

Related Greatest Common Factor of 8337

Related Greatest Common Factor of 8343

Frequently Asked Questions on GCF of 8337 and 8343

1. What is the GCF of 8337 and 8343?

Answer: GCF of 8337 and 8343 is 3.

2. What are the Factors of 8337?

Answer: Factors of 8337 are 1, 3, 7, 21, 397, 1191, 2779, 8337. There are 8 integers that are factors of 8337. The greatest factor of 8337 is 8337.

3. What are the Factors of 8343?

Answer: Factors of 8343 are 1, 3, 9, 27, 81, 103, 309, 927, 2781, 8343. There are 10 integers that are factors of 8343. The greatest factor of 8343 is 8343.

4. How to Find the GCF of 8337 and 8343?

Answer:

Greatest Common Factor of 8337 and 8343 = 3

Step 1: Find the prime factorization of 8337

8337 = 3 x 7 x 397

Step 2: Find the prime factorization of 8343

8343 = 3 x 3 x 3 x 3 x 103

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 8337 and 8343 is 3