Greatest Common Factor of 82382 and 82389

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 82382, 82389 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82382 and 82389 is 1.

GCF(82382,82389) = 1

GCF of 82382 and 82389

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

GCF of:
and

Greatest Common Factor of 82382 and 82389

GCF of 82382 and 82389 is 1

Prime Factorization of 82382


2 82382
17 41191
2423 2423
1

Prime factors of 82382 are 2,17,2423. Prime factorization of 82382 in exponential form is:

82382 = 21×171×24231

Prime Factorization of 82389


3 82389
29 27463
947 947
1

Prime factors of 82389 are 3,29,947. Prime factorization of 82389 in exponential form is:

82389 = 31×291×9471

∴ So by taking common prime factors GCF of 82382 and 82389 is 1

Greatest Common Factor of 82382 and 82389 by matching factors method

Factors of 82382

List of positive integer factors of 82382 that divides 82382 without a remainder.

1,2,17,34,2423,4846,41191,82382

Factors of 82389

List of positive integer factors of 82389 that divides 82389 without a remainder.

1,3,29,87,947,2841,27463,82389

Greatest Common Factor

We found the factors and prime factorization of 82382 and 82389. The biggest common factor number is the GCF number.
So the greatest common factor 82382 and 82389 is 1.

Also check out the Least Common Multiple of 82382 and 82389

Properties of GCF 82382 and 82389

(i) The GCF of 82382 and 82389 is associative

GCF of 82382 and 82389 = GCF of 82389 and 82382

Related Greatest Common Factor of 82382

Related Greatest Common Factor of 82389

Frequently Asked Questions on GCF of 82382 and 82389

1. What is the GCF of 82382 and 82389?

Answer: GCF of 82382 and 82389 is 1.

2. What are the Factors of 82382?

Answer: Factors of 82382 are 1, 2, 17, 34, 2423, 4846, 41191, 82382. There are 8 integers that are factors of 82382. The greatest factor of 82382 is 82382.

3. What are the Factors of 82389?

Answer: Factors of 82389 are 1, 3, 29, 87, 947, 2841, 27463, 82389. There are 8 integers that are factors of 82389. The greatest factor of 82389 is 82389.

4. How to Find the GCF of 82382 and 82389?

Answer:

Greatest Common Factor of 82382 and 82389 = 1

Step 1: Find the prime factorization of 82382

82382 = 2 x 17 x 2423

Step 2: Find the prime factorization of 82389

82389 = 3 x 29 x 947

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 82382 and 82389 is 1