Greatest Common Factor of 82359 and 82360

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 82359, 82360 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82359 and 82360 is 1.

GCF(82359,82360) = 1

GCF of 82359 and 82360

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

GCF of:
and

Greatest Common Factor of 82359 and 82360

GCF of 82359 and 82360 is 1

Prime Factorization of 82359


3 82359
3 27453
9151 9151
1

Prime factors of 82359 are 3,9151. Prime factorization of 82359 in exponential form is:

82359 = 32×91511

Prime Factorization of 82360


2 82360
2 41180
2 20590
5 10295
29 2059
71 71
1

Prime factors of 82360 are 2,5,29,71. Prime factorization of 82360 in exponential form is:

82360 = 23×51×291×711

∴ So by taking common prime factors GCF of 82359 and 82360 is 1

Greatest Common Factor of 82359 and 82360 by matching factors method

Factors of 82359

List of positive integer factors of 82359 that divides 82359 without a remainder.

1,3,9,9151,27453,82359

Factors of 82360

List of positive integer factors of 82360 that divides 82360 without a remainder.

1,2,4,5,8,10,20,29,40,58,71,116,142,145,232,284,290,355,568,580,710,1160,1420,2059,2840,4118,8236,10295,16472,20590,41180,82360

Greatest Common Factor

We found the factors and prime factorization of 82359 and 82360. The biggest common factor number is the GCF number.
So the greatest common factor 82359 and 82360 is 1.

Also check out the Least Common Multiple of 82359 and 82360

Properties of GCF 82359 and 82360

(i) The GCF of 82359 and 82360 is associative

GCF of 82359 and 82360 = GCF of 82360 and 82359

Related Greatest Common Factor of 82359

Related Greatest Common Factor of 82360

Frequently Asked Questions on GCF of 82359 and 82360

1. What is the GCF of 82359 and 82360?

Answer: GCF of 82359 and 82360 is 1.

2. What are the Factors of 82359?

Answer: Factors of 82359 are 1, 3, 9, 9151, 27453, 82359. There are 6 integers that are factors of 82359. The greatest factor of 82359 is 82359.

3. What are the Factors of 82360?

Answer: Factors of 82360 are 1, 2, 4, 5, 8, 10, 20, 29, 40, 58, 71, 116, 142, 145, 232, 284, 290, 355, 568, 580, 710, 1160, 1420, 2059, 2840, 4118, 8236, 10295, 16472, 20590, 41180, 82360. There are 32 integers that are factors of 82360. The greatest factor of 82360 is 82360.

4. How to Find the GCF of 82359 and 82360?

Answer:

Greatest Common Factor of 82359 and 82360 = 1

Step 1: Find the prime factorization of 82359

82359 = 3 x 3 x 9151

Step 2: Find the prime factorization of 82360

82360 = 2 x 2 x 2 x 5 x 29 x 71

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

GCF = = 1

Step 4: Therefore, the greatest common factor of 82359 and 82360 is 1