Greatest Common Factor of 8361 and 8367

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 8361, 8367 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8361 and 8367 is 3.

GCF(8361,8367) = 3

GCF of 8361 and 8367

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

GCF of:
and

Greatest Common Factor of 8361 and 8367

GCF of 8361 and 8367 is 3

Prime Factorization of 8361


3 8361
3 2787
929 929
1

Prime factors of 8361 are 3,929. Prime factorization of 8361 in exponential form is:

8361 = 32×9291

Prime Factorization of 8367


3 8367
2789 2789
1

Prime factors of 8367 are 3,2789. Prime factorization of 8367 in exponential form is:

8367 = 31×27891

∴ So by taking common prime factors GCF of 8361 and 8367 is 3

Greatest Common Factor of 8361 and 8367 by matching factors method

Factors of 8361

List of positive integer factors of 8361 that divides 8361 without a remainder.

1,3,9,929,2787,8361

Factors of 8367

List of positive integer factors of 8367 that divides 8367 without a remainder.

1,3,2789,8367

Greatest Common Factor

We found the factors and prime factorization of 8361 and 8367. The biggest common factor number is the GCF number.
So the greatest common factor 8361 and 8367 is 3.

Also check out the Least Common Multiple of 8361 and 8367

Properties of GCF 8361 and 8367

(i) The GCF of 8361 and 8367 is associative

GCF of 8361 and 8367 = GCF of 8367 and 8361

Related Greatest Common Factor of 8361

Related Greatest Common Factor of 8367

Frequently Asked Questions on GCF of 8361 and 8367

1. What is the GCF of 8361 and 8367?

Answer: GCF of 8361 and 8367 is 3.

2. What are the Factors of 8361?

Answer: Factors of 8361 are 1, 3, 9, 929, 2787, 8361. There are 6 integers that are factors of 8361. The greatest factor of 8361 is 8361.

3. What are the Factors of 8367?

Answer: Factors of 8367 are 1, 3, 2789, 8367. There are 4 integers that are factors of 8367. The greatest factor of 8367 is 8367.

4. How to Find the GCF of 8361 and 8367?

Answer:

Greatest Common Factor of 8361 and 8367 = 3

Step 1: Find the prime factorization of 8361

8361 = 3 x 3 x 929

Step 2: Find the prime factorization of 8367

8367 = 3 x 2789

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

GCF = 3

Step 4: Therefore, the greatest common factor of 8361 and 8367 is 3