Greatest Common Factor of 8298 and 8302

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 8298, 8302 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8298 and 8302 is 2.

GCF(8298,8302) = 2

GCF of 8298 and 8302

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

GCF of:
and

Greatest Common Factor of 8298 and 8302

GCF of 8298 and 8302 is 2

Prime Factorization of 8298


2 8298
3 4149
3 1383
461 461
1

Prime factors of 8298 are 2,3,461. Prime factorization of 8298 in exponential form is:

8298 = 21×32×4611

Prime Factorization of 8302


2 8302
7 4151
593 593
1

Prime factors of 8302 are 2,7,593. Prime factorization of 8302 in exponential form is:

8302 = 21×71×5931

∴ So by taking common prime factors GCF of 8298 and 8302 is 2

Greatest Common Factor of 8298 and 8302 by matching factors method

Factors of 8298

List of positive integer factors of 8298 that divides 8298 without a remainder.

1,2,3,6,9,18,461,922,1383,2766,4149,8298

Factors of 8302

List of positive integer factors of 8302 that divides 8302 without a remainder.

1,2,7,14,593,1186,4151,8302

Greatest Common Factor

We found the factors and prime factorization of 8298 and 8302. The biggest common factor number is the GCF number.
So the greatest common factor 8298 and 8302 is 2.

Also check out the Least Common Multiple of 8298 and 8302

Properties of GCF 8298 and 8302

(i) The GCF of 8298 and 8302 is associative

GCF of 8298 and 8302 = GCF of 8302 and 8298

Related Greatest Common Factor of 8298

Related Greatest Common Factor of 8302

Frequently Asked Questions on GCF of 8298 and 8302

1. What is the GCF of 8298 and 8302?

Answer: GCF of 8298 and 8302 is 2.

2. What are the Factors of 8298?

Answer: Factors of 8298 are 1, 2, 3, 6, 9, 18, 461, 922, 1383, 2766, 4149, 8298. There are 12 integers that are factors of 8298. The greatest factor of 8298 is 8298.

3. What are the Factors of 8302?

Answer: Factors of 8302 are 1, 2, 7, 14, 593, 1186, 4151, 8302. There are 8 integers that are factors of 8302. The greatest factor of 8302 is 8302.

4. How to Find the GCF of 8298 and 8302?

Answer:

Greatest Common Factor of 8298 and 8302 = 2

Step 1: Find the prime factorization of 8298

8298 = 2 x 3 x 3 x 461

Step 2: Find the prime factorization of 8302

8302 = 2 x 7 x 593

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2

Step 4: Therefore, the greatest common factor of 8298 and 8302 is 2