Greatest Common Factor of 8330 and 8334

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 8330, 8334 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8330 and 8334 is 2.

GCF(8330,8334) = 2

GCF of 8330 and 8334

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

GCF of:
and

Greatest Common Factor of 8330 and 8334

GCF of 8330 and 8334 is 2

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

Prime Factorization of 8334


2 8334
3 4167
3 1389
463 463
1

Prime factors of 8334 are 2,3,463. Prime factorization of 8334 in exponential form is:

8334 = 21×32×4631

∴ So by taking common prime factors GCF of 8330 and 8334 is 2

Greatest Common Factor of 8330 and 8334 by matching factors method

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

Factors of 8334

List of positive integer factors of 8334 that divides 8334 without a remainder.

1,2,3,6,9,18,463,926,1389,2778,4167,8334

Greatest Common Factor

We found the factors and prime factorization of 8330 and 8334. The biggest common factor number is the GCF number.
So the greatest common factor 8330 and 8334 is 2.

Also check out the Least Common Multiple of 8330 and 8334

Properties of GCF 8330 and 8334

(i) The GCF of 8330 and 8334 is associative

GCF of 8330 and 8334 = GCF of 8334 and 8330

Related Greatest Common Factor of 8330

Related Greatest Common Factor of 8334

Frequently Asked Questions on GCF of 8330 and 8334

1. What is the GCF of 8330 and 8334?

Answer: GCF of 8330 and 8334 is 2.

2. 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.

3. What are the Factors of 8334?

Answer: Factors of 8334 are 1, 2, 3, 6, 9, 18, 463, 926, 1389, 2778, 4167, 8334. There are 12 integers that are factors of 8334. The greatest factor of 8334 is 8334.

4. How to Find the GCF of 8330 and 8334?

Answer:

Greatest Common Factor of 8330 and 8334 = 2

Step 1: Find the prime factorization of 8330

8330 = 2 x 5 x 7 x 7 x 17

Step 2: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

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 8330 and 8334 is 2