Greatest Common Factor of 8334 and 8340

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 8334, 8340 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8334 and 8340 is 6.

GCF(8334,8340) = 6

GCF of 8334 and 8340

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

GCF of:
and

Greatest Common Factor of 8334 and 8340

GCF of 8334 and 8340 is 6

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

Prime Factorization of 8340


2 8340
2 4170
3 2085
5 695
139 139
1

Prime factors of 8340 are 2,3,5,139. Prime factorization of 8340 in exponential form is:

8340 = 22×31×51×1391

∴ So by taking common prime factors GCF of 8334 and 8340 is 6

Greatest Common Factor of 8334 and 8340 by matching factors method

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

Factors of 8340

List of positive integer factors of 8340 that divides 8340 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,139,278,417,556,695,834,1390,1668,2085,2780,4170,8340

Greatest Common Factor

We found the factors and prime factorization of 8334 and 8340. The biggest common factor number is the GCF number.
So the greatest common factor 8334 and 8340 is 6.

Also check out the Least Common Multiple of 8334 and 8340

Properties of GCF 8334 and 8340

(i) The GCF of 8334 and 8340 is associative

GCF of 8334 and 8340 = GCF of 8340 and 8334

Related Greatest Common Factor of 8334

Related Greatest Common Factor of 8340

Frequently Asked Questions on GCF of 8334 and 8340

1. What is the GCF of 8334 and 8340?

Answer: GCF of 8334 and 8340 is 6.

2. 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.

3. What are the Factors of 8340?

Answer: Factors of 8340 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 139, 278, 417, 556, 695, 834, 1390, 1668, 2085, 2780, 4170, 8340. There are 24 integers that are factors of 8340. The greatest factor of 8340 is 8340.

4. How to Find the GCF of 8334 and 8340?

Answer:

Greatest Common Factor of 8334 and 8340 = 6

Step 1: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

Step 2: Find the prime factorization of 8340

8340 = 2 x 2 x 3 x 5 x 139

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 8334 and 8340 is 6