Greatest Common Factor of 8322 and 8330

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, 8330 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8322 and 8330 is 2.

GCF(8322,8330) = 2

GCF of 8322 and 8330

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

GCF of:
and

Greatest Common Factor of 8322 and 8330

GCF of 8322 and 8330 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 8330


2 8330
5 4165
7 833
7 119
17 17
1

Prime factors of 8330 are 2,5,7,17. Prime factorization of 8330 in exponential form is:

8330 = 21×51×72×171

∴ So by taking common prime factors GCF of 8322 and 8330 is 2

Greatest Common Factor of 8322 and 8330 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 8330

List of positive integer factors of 8330 that divides 8330 without a remainder.

1,2,5,7,10,14,17,34,35,49,70,85,98,119,170,238,245,490,595,833,1190,1666,4165,8330

Greatest Common Factor

We found the factors and prime factorization of 8322 and 8330. The biggest common factor number is the GCF number.
So the greatest common factor 8322 and 8330 is 2.

Also check out the Least Common Multiple of 8322 and 8330

Properties of GCF 8322 and 8330

(i) The GCF of 8322 and 8330 is associative

GCF of 8322 and 8330 = GCF of 8330 and 8322

Related Greatest Common Factor of 8322

Related Greatest Common Factor of 8330

Frequently Asked Questions on GCF of 8322 and 8330

1. What is the GCF of 8322 and 8330?

Answer: GCF of 8322 and 8330 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 8330?

Answer: Factors of 8330 are 1, 2, 5, 7, 10, 14, 17, 34, 35, 49, 70, 85, 98, 119, 170, 238, 245, 490, 595, 833, 1190, 1666, 4165, 8330. There are 24 integers that are factors of 8330. The greatest factor of 8330 is 8330.

4. How to Find the GCF of 8322 and 8330?

Answer:

Greatest Common Factor of 8322 and 8330 = 2

Step 1: Find the prime factorization of 8322

8322 = 2 x 3 x 19 x 73

Step 2: Find the prime factorization of 8330

8330 = 2 x 5 x 7 x 7 x 17

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 8330 is 2