Greatest Common Factor of 82359 and 82364

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, 82364 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82359 and 82364 is 1.

GCF(82359,82364) = 1

GCF of 82359 and 82364

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

GCF of:
and

Greatest Common Factor of 82359 and 82364

GCF of 82359 and 82364 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 82364


2 82364
2 41182
59 20591
349 349
1

Prime factors of 82364 are 2,59,349. Prime factorization of 82364 in exponential form is:

82364 = 22×591×3491

∴ So by taking common prime factors GCF of 82359 and 82364 is 1

Greatest Common Factor of 82359 and 82364 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 82364

List of positive integer factors of 82364 that divides 82364 without a remainder.

1,2,4,59,118,236,349,698,1396,20591,41182,82364

Greatest Common Factor

We found the factors and prime factorization of 82359 and 82364. The biggest common factor number is the GCF number.
So the greatest common factor 82359 and 82364 is 1.

Also check out the Least Common Multiple of 82359 and 82364

Properties of GCF 82359 and 82364

(i) The GCF of 82359 and 82364 is associative

GCF of 82359 and 82364 = GCF of 82364 and 82359

Related Greatest Common Factor of 82359

Related Greatest Common Factor of 82364

Frequently Asked Questions on GCF of 82359 and 82364

1. What is the GCF of 82359 and 82364?

Answer: GCF of 82359 and 82364 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 82364?

Answer: Factors of 82364 are 1, 2, 4, 59, 118, 236, 349, 698, 1396, 20591, 41182, 82364. There are 12 integers that are factors of 82364. The greatest factor of 82364 is 82364.

4. How to Find the GCF of 82359 and 82364?

Answer:

Greatest Common Factor of 82359 and 82364 = 1

Step 1: Find the prime factorization of 82359

82359 = 3 x 3 x 9151

Step 2: Find the prime factorization of 82364

82364 = 2 x 2 x 59 x 349

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 82364 is 1