Greatest Common Factor of 8339 and 8347

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 8339, 8347 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8339 and 8347 is 1.

GCF(8339,8347) = 1

GCF of 8339 and 8347

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

GCF of:
and

Greatest Common Factor of 8339 and 8347

GCF of 8339 and 8347 is 1

Prime Factorization of 8339


31 8339
269 269
1

Prime factors of 8339 are 31,269. Prime factorization of 8339 in exponential form is:

8339 = 311×2691

Prime Factorization of 8347


17 8347
491 491
1

Prime factors of 8347 are 17,491. Prime factorization of 8347 in exponential form is:

8347 = 171×4911

∴ So by taking common prime factors GCF of 8339 and 8347 is 1

Greatest Common Factor of 8339 and 8347 by matching factors method

Factors of 8339

List of positive integer factors of 8339 that divides 8339 without a remainder.

1,31,269,8339

Factors of 8347

List of positive integer factors of 8347 that divides 8347 without a remainder.

1,17,491,8347

Greatest Common Factor

We found the factors and prime factorization of 8339 and 8347. The biggest common factor number is the GCF number.
So the greatest common factor 8339 and 8347 is 1.

Also check out the Least Common Multiple of 8339 and 8347

Properties of GCF 8339 and 8347

(i) The GCF of 8339 and 8347 is associative

GCF of 8339 and 8347 = GCF of 8347 and 8339

Frequently Asked Questions on GCF of 8339 and 8347

1. What is the GCF of 8339 and 8347?

Answer: GCF of 8339 and 8347 is 1.

2. What are the Factors of 8339?

Answer: Factors of 8339 are 1, 31, 269, 8339. There are 4 integers that are factors of 8339. The greatest factor of 8339 is 8339.

3. What are the Factors of 8347?

Answer: Factors of 8347 are 1, 17, 491, 8347. There are 4 integers that are factors of 8347. The greatest factor of 8347 is 8347.

4. How to Find the GCF of 8339 and 8347?

Answer:

Greatest Common Factor of 8339 and 8347 = 1

Step 1: Find the prime factorization of 8339

8339 = 31 x 269

Step 2: Find the prime factorization of 8347

8347 = 17 x 491

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 8339 and 8347 is 1