Greatest Common Factor of 8360 and 8365

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 8360, 8365 i.e. 5 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8360 and 8365 is 5.

GCF(8360,8365) = 5

GCF of 8360 and 8365

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

GCF of:
and

Greatest Common Factor of 8360 and 8365

GCF of 8360 and 8365 is 5

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

Prime Factorization of 8365


5 8365
7 1673
239 239
1

Prime factors of 8365 are 5,7,239. Prime factorization of 8365 in exponential form is:

8365 = 51×71×2391

∴ So by taking common prime factors GCF of 8360 and 8365 is 5

Greatest Common Factor of 8360 and 8365 by matching factors method

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

Factors of 8365

List of positive integer factors of 8365 that divides 8365 without a remainder.

1,5,7,35,239,1195,1673,8365

Greatest Common Factor

We found the factors and prime factorization of 8360 and 8365. The biggest common factor number is the GCF number.
So the greatest common factor 8360 and 8365 is 5.

Also check out the Least Common Multiple of 8360 and 8365

Properties of GCF 8360 and 8365

(i) The GCF of 8360 and 8365 is associative

GCF of 8360 and 8365 = GCF of 8365 and 8360

Related Greatest Common Factor of 8360

Related Greatest Common Factor of 8365

Frequently Asked Questions on GCF of 8360 and 8365

1. What is the GCF of 8360 and 8365?

Answer: GCF of 8360 and 8365 is 5.

2. 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.

3. What are the Factors of 8365?

Answer: Factors of 8365 are 1, 5, 7, 35, 239, 1195, 1673, 8365. There are 8 integers that are factors of 8365. The greatest factor of 8365 is 8365.

4. How to Find the GCF of 8360 and 8365?

Answer:

Greatest Common Factor of 8360 and 8365 = 5

Step 1: Find the prime factorization of 8360

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

Step 2: Find the prime factorization of 8365

8365 = 5 x 7 x 239

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 8360 and 8365 is 5