Greatest Common Factor of 8322 and 8326

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 8322, 8326 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8322 and 8326 is 2.

GCF(8322,8326) = 2

GCF of 8322 and 8326

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

GCF of:
and

Greatest Common Factor of 8322 and 8326

GCF of 8322 and 8326 is 2

Prime Factorization of 8322


2 8322
3 4161
19 1387
73 73
1

Prime factors of 8322 are 2,3,19,73. Prime factorization of 8322 in exponential form is:

8322 = 21×31×191×731

Prime Factorization of 8326


2 8326
23 4163
181 181
1

Prime factors of 8326 are 2,23,181. Prime factorization of 8326 in exponential form is:

8326 = 21×231×1811

∴ So by taking common prime factors GCF of 8322 and 8326 is 2

Greatest Common Factor of 8322 and 8326 by matching factors method

Factors of 8322

List of positive integer factors of 8322 that divides 8322 without a remainder.

1,2,3,6,19,38,57,73,114,146,219,438,1387,2774,4161,8322

Factors of 8326

List of positive integer factors of 8326 that divides 8326 without a remainder.

1,2,23,46,181,362,4163,8326

Greatest Common Factor

We found the factors and prime factorization of 8322 and 8326. The biggest common factor number is the GCF number.
So the greatest common factor 8322 and 8326 is 2.

Also check out the Least Common Multiple of 8322 and 8326

Properties of GCF 8322 and 8326

(i) The GCF of 8322 and 8326 is associative

GCF of 8322 and 8326 = GCF of 8326 and 8322

Related Greatest Common Factor of 8322

Related Greatest Common Factor of 8326

Frequently Asked Questions on GCF of 8322 and 8326

1. What is the GCF of 8322 and 8326?

Answer: GCF of 8322 and 8326 is 2.

2. What are the Factors of 8322?

Answer: Factors of 8322 are 1, 2, 3, 6, 19, 38, 57, 73, 114, 146, 219, 438, 1387, 2774, 4161, 8322. There are 16 integers that are factors of 8322. The greatest factor of 8322 is 8322.

3. What are the Factors of 8326?

Answer: Factors of 8326 are 1, 2, 23, 46, 181, 362, 4163, 8326. There are 8 integers that are factors of 8326. The greatest factor of 8326 is 8326.

4. How to Find the GCF of 8322 and 8326?

Answer:

Greatest Common Factor of 8322 and 8326 = 2

Step 1: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

Step 2: Find the prime factorization of 8326

8326 = 2 x 23 x 181

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 8322 and 8326 is 2