Greatest Common Factor of 8334 and 8341

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, 8341 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8334 and 8341 is 1.

GCF(8334,8341) = 1

GCF of 8334 and 8341

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

GCF of:
and

Greatest Common Factor of 8334 and 8341

GCF of 8334 and 8341 is 1

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 8341


19 8341
439 439
1

Prime factors of 8341 are 19,439. Prime factorization of 8341 in exponential form is:

8341 = 191×4391

∴ So by taking common prime factors GCF of 8334 and 8341 is 1

Greatest Common Factor of 8334 and 8341 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 8341

List of positive integer factors of 8341 that divides 8341 without a remainder.

1,19,439,8341

Greatest Common Factor

We found the factors and prime factorization of 8334 and 8341. The biggest common factor number is the GCF number.
So the greatest common factor 8334 and 8341 is 1.

Also check out the Least Common Multiple of 8334 and 8341

Properties of GCF 8334 and 8341

(i) The GCF of 8334 and 8341 is associative

GCF of 8334 and 8341 = GCF of 8341 and 8334

Related Greatest Common Factor of 8334

Related Greatest Common Factor of 8341

Frequently Asked Questions on GCF of 8334 and 8341

1. What is the GCF of 8334 and 8341?

Answer: GCF of 8334 and 8341 is 1.

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 8341?

Answer: Factors of 8341 are 1, 19, 439, 8341. There are 4 integers that are factors of 8341. The greatest factor of 8341 is 8341.

4. How to Find the GCF of 8334 and 8341?

Answer:

Greatest Common Factor of 8334 and 8341 = 1

Step 1: Find the prime factorization of 8334

8334 = 2 x 3 x 3 x 463

Step 2: Find the prime factorization of 8341

8341 = 19 x 439

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 8334 and 8341 is 1