Greatest Common Factor of 8360 and 8364

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, 8364 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8360 and 8364 is 4.

GCF(8360,8364) = 4

GCF of 8360 and 8364

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

GCF of:
and

Greatest Common Factor of 8360 and 8364

GCF of 8360 and 8364 is 4

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 8364


2 8364
2 4182
3 2091
17 697
41 41
1

Prime factors of 8364 are 2,3,17,41. Prime factorization of 8364 in exponential form is:

8364 = 22×31×171×411

∴ So by taking common prime factors GCF of 8360 and 8364 is 4

Greatest Common Factor of 8360 and 8364 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 8364

List of positive integer factors of 8364 that divides 8364 without a remainder.

1,2,3,4,6,12,17,34,41,51,68,82,102,123,164,204,246,492,697,1394,2091,2788,4182,8364

Greatest Common Factor

We found the factors and prime factorization of 8360 and 8364. The biggest common factor number is the GCF number.
So the greatest common factor 8360 and 8364 is 4.

Also check out the Least Common Multiple of 8360 and 8364

Properties of GCF 8360 and 8364

(i) The GCF of 8360 and 8364 is associative

GCF of 8360 and 8364 = GCF of 8364 and 8360

Related Greatest Common Factor of 8360

Related Greatest Common Factor of 8364

Frequently Asked Questions on GCF of 8360 and 8364

1. What is the GCF of 8360 and 8364?

Answer: GCF of 8360 and 8364 is 4.

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 8364?

Answer: Factors of 8364 are 1, 2, 3, 4, 6, 12, 17, 34, 41, 51, 68, 82, 102, 123, 164, 204, 246, 492, 697, 1394, 2091, 2788, 4182, 8364. There are 24 integers that are factors of 8364. The greatest factor of 8364 is 8364.

4. How to Find the GCF of 8360 and 8364?

Answer:

Greatest Common Factor of 8360 and 8364 = 4

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 8364

8364 = 2 x 2 x 3 x 17 x 41

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

GCF = 2 x 2 = 4

Step 4: Therefore, the greatest common factor of 8360 and 8364 is 4