Greatest Common Factor of 8290 and 8296

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 8290, 8296 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8290 and 8296 is 2.

GCF(8290,8296) = 2

GCF of 8290 and 8296

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

GCF of:
and

Greatest Common Factor of 8290 and 8296

GCF of 8290 and 8296 is 2

Prime Factorization of 8290


2 8290
5 4145
829 829
1

Prime factors of 8290 are 2,5,829. Prime factorization of 8290 in exponential form is:

8290 = 21×51×8291

Prime Factorization of 8296


2 8296
2 4148
2 2074
17 1037
61 61
1

Prime factors of 8296 are 2,17,61. Prime factorization of 8296 in exponential form is:

8296 = 23×171×611

∴ So by taking common prime factors GCF of 8290 and 8296 is 2

Greatest Common Factor of 8290 and 8296 by matching factors method

Factors of 8290

List of positive integer factors of 8290 that divides 8290 without a remainder.

1,2,5,10,829,1658,4145,8290

Factors of 8296

List of positive integer factors of 8296 that divides 8296 without a remainder.

1,2,4,8,17,34,61,68,122,136,244,488,1037,2074,4148,8296

Greatest Common Factor

We found the factors and prime factorization of 8290 and 8296. The biggest common factor number is the GCF number.
So the greatest common factor 8290 and 8296 is 2.

Also check out the Least Common Multiple of 8290 and 8296

Properties of GCF 8290 and 8296

(i) The GCF of 8290 and 8296 is associative

GCF of 8290 and 8296 = GCF of 8296 and 8290

Related Greatest Common Factor of 8290

Related Greatest Common Factor of 8296

Frequently Asked Questions on GCF of 8290 and 8296

1. What is the GCF of 8290 and 8296?

Answer: GCF of 8290 and 8296 is 2.

2. What are the Factors of 8290?

Answer: Factors of 8290 are 1, 2, 5, 10, 829, 1658, 4145, 8290. There are 8 integers that are factors of 8290. The greatest factor of 8290 is 8290.

3. What are the Factors of 8296?

Answer: Factors of 8296 are 1, 2, 4, 8, 17, 34, 61, 68, 122, 136, 244, 488, 1037, 2074, 4148, 8296. There are 16 integers that are factors of 8296. The greatest factor of 8296 is 8296.

4. How to Find the GCF of 8290 and 8296?

Answer:

Greatest Common Factor of 8290 and 8296 = 2

Step 1: Find the prime factorization of 8290

8290 = 2 x 5 x 829

Step 2: Find the prime factorization of 8296

8296 = 2 x 2 x 2 x 17 x 61

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 8290 and 8296 is 2