Greatest Common Factor of 8355 and 8361

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 8355, 8361 i.e. 3 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8355 and 8361 is 3.

GCF(8355,8361) = 3

GCF of 8355 and 8361

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

GCF of:
and

Greatest Common Factor of 8355 and 8361

GCF of 8355 and 8361 is 3

Prime Factorization of 8355


3 8355
5 2785
557 557
1

Prime factors of 8355 are 3,5,557. Prime factorization of 8355 in exponential form is:

8355 = 31×51×5571

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

∴ So by taking common prime factors GCF of 8355 and 8361 is 3

Greatest Common Factor of 8355 and 8361 by matching factors method

Factors of 8355

List of positive integer factors of 8355 that divides 8355 without a remainder.

1,3,5,15,557,1671,2785,8355

Factors of 8361

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

1,3,9,929,2787,8361

Greatest Common Factor

We found the factors and prime factorization of 8355 and 8361. The biggest common factor number is the GCF number.
So the greatest common factor 8355 and 8361 is 3.

Also check out the Least Common Multiple of 8355 and 8361

Properties of GCF 8355 and 8361

(i) The GCF of 8355 and 8361 is associative

GCF of 8355 and 8361 = GCF of 8361 and 8355

Related Greatest Common Factor of 8355

Related Greatest Common Factor of 8361

Frequently Asked Questions on GCF of 8355 and 8361

1. What is the GCF of 8355 and 8361?

Answer: GCF of 8355 and 8361 is 3.

2. What are the Factors of 8355?

Answer: Factors of 8355 are 1, 3, 5, 15, 557, 1671, 2785, 8355. There are 8 integers that are factors of 8355. The greatest factor of 8355 is 8355.

3. 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.

4. How to Find the GCF of 8355 and 8361?

Answer:

Greatest Common Factor of 8355 and 8361 = 3

Step 1: Find the prime factorization of 8355

8355 = 3 x 5 x 557

Step 2: Find the prime factorization of 8361

8361 = 3 x 3 x 929

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 8355 and 8361 is 3