Greatest Common Factor of 8355 and 8360

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, 8360 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8355 and 8360 is 5.

GCF(8355,8360) = 5

GCF of 8355 and 8360

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

GCF of:
and

Greatest Common Factor of 8355 and 8360

GCF of 8355 and 8360 is 5

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 8360


2 8360
2 4180
2 2090
5 1045
11 209
19 19
1

Prime factors of 8360 are 2,5,11,19. Prime factorization of 8360 in exponential form is:

8360 = 23×51×111×191

∴ So by taking common prime factors GCF of 8355 and 8360 is 5

Greatest Common Factor of 8355 and 8360 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 8360

List of positive integer factors of 8360 that divides 8360 without a remainder.

1,2,4,5,8,10,11,19,20,22,38,40,44,55,76,88,95,110,152,190,209,220,380,418,440,760,836,1045,1672,2090,4180,8360

Greatest Common Factor

We found the factors and prime factorization of 8355 and 8360. The biggest common factor number is the GCF number.
So the greatest common factor 8355 and 8360 is 5.

Also check out the Least Common Multiple of 8355 and 8360

Properties of GCF 8355 and 8360

(i) The GCF of 8355 and 8360 is associative

GCF of 8355 and 8360 = GCF of 8360 and 8355

Related Greatest Common Factor of 8355

Related Greatest Common Factor of 8360

Frequently Asked Questions on GCF of 8355 and 8360

1. What is the GCF of 8355 and 8360?

Answer: GCF of 8355 and 8360 is 5.

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 8360?

Answer: Factors of 8360 are 1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 38, 40, 44, 55, 76, 88, 95, 110, 152, 190, 209, 220, 380, 418, 440, 760, 836, 1045, 1672, 2090, 4180, 8360. There are 32 integers that are factors of 8360. The greatest factor of 8360 is 8360.

4. How to Find the GCF of 8355 and 8360?

Answer:

Greatest Common Factor of 8355 and 8360 = 5

Step 1: Find the prime factorization of 8355

8355 = 3 x 5 x 557

Step 2: Find the prime factorization of 8360

8360 = 2 x 2 x 2 x 5 x 11 x 19

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

GCF = 5

Step 4: Therefore, the greatest common factor of 8355 and 8360 is 5