Greatest Common Factor of 8329 and 8335

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 8329, 8335 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8329 and 8335 is 1.

GCF(8329,8335) = 1

GCF of 8329 and 8335

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

GCF of:
and

Greatest Common Factor of 8329 and 8335

GCF of 8329 and 8335 is 1

Prime Factorization of 8329


8329 8329
1

Prime factors of 8329 are 8329. Prime factorization of 8329 in exponential form is:

8329 = 83291

Prime Factorization of 8335


5 8335
1667 1667
1

Prime factors of 8335 are 5.Prime factorization of 8335 in exponential form is:

8335 = 51×16671

∴ So by taking common prime factors GCF of 8329 and 8335 is 1

Greatest Common Factor of 8329 and 8335 by matching factors method

Factors of 8329

List of positive integer factors of 8329 that divides 8329 without a remainder.

1,8329

Factors of 8335

List of positive integer factors of 8335 that divides 8335 without a remainder.

1,5,1667,8335

Greatest Common Factor

We found the factors and prime factorization of 8329 and 8335. The biggest common factor number is the GCF number.
So the greatest common factor 8329 and 8335 is 1.

Also check out the Least Common Multiple of 8329 and 8335

Properties of GCF 8329 and 8335

(i) The GCF of 8329 and 8335 is associative

GCF of 8329 and 8335 = GCF of 8335 and 8329

Frequently Asked Questions on GCF of 8329 and 8335

1. What is the GCF of 8329 and 8335?

Answer: GCF of 8329 and 8335 is 1.

2. What are the Factors of 8329?

Answer: Factors of 8329 are 1, 8329. There are 2 integers that are factors of 8329. The greatest factor of 8329 is 8329.

3. What are the Factors of 8335?

Answer: Factors of 8335 are 1, 5, 1667, 8335. There are 4 integers that are factors of 8335. The greatest factor of 8335 is 8335.

4. How to Find the GCF of 8329 and 8335?

Answer:

Greatest Common Factor of 8329 and 8335 = 1

Step 1: Find the prime factorization of 8329

8329 = 8329

Step 2: Find the prime factorization of 8335

8335 = 5 x 1667

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 8329 and 8335 is 1