Greatest Common Factor of 82360 and 82367

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 82360, 82367 i.e. 1 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82360 and 82367 is 1.

GCF(82360,82367) = 1

GCF of 82360 and 82367

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

GCF of:
and

Greatest Common Factor of 82360 and 82367

GCF of 82360 and 82367 is 1

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

Prime Factorization of 82367


31 82367
2657 2657
1

Prime factors of 82367 are 31,2657. Prime factorization of 82367 in exponential form is:

82367 = 311×26571

∴ So by taking common prime factors GCF of 82360 and 82367 is 1

Greatest Common Factor of 82360 and 82367 by matching factors method

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

Factors of 82367

List of positive integer factors of 82367 that divides 82367 without a remainder.

1,31,2657,82367

Greatest Common Factor

We found the factors and prime factorization of 82360 and 82367. The biggest common factor number is the GCF number.
So the greatest common factor 82360 and 82367 is 1.

Also check out the Least Common Multiple of 82360 and 82367

Properties of GCF 82360 and 82367

(i) The GCF of 82360 and 82367 is associative

GCF of 82360 and 82367 = GCF of 82367 and 82360

Related Greatest Common Factor of 82360

Related Greatest Common Factor of 82367

Frequently Asked Questions on GCF of 82360 and 82367

1. What is the GCF of 82360 and 82367?

Answer: GCF of 82360 and 82367 is 1.

2. 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.

3. What are the Factors of 82367?

Answer: Factors of 82367 are 1, 31, 2657, 82367. There are 4 integers that are factors of 82367. The greatest factor of 82367 is 82367.

4. How to Find the GCF of 82360 and 82367?

Answer:

Greatest Common Factor of 82360 and 82367 = 1

Step 1: Find the prime factorization of 82360

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

Step 2: Find the prime factorization of 82367

82367 = 31 x 2657

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 82360 and 82367 is 1