Greatest Common Factor of 82340 and 82344

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 82340, 82344 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82340 and 82344 is 4.

GCF(82340,82344) = 4

GCF of 82340 and 82344

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

GCF of:
and

Greatest Common Factor of 82340 and 82344

GCF of 82340 and 82344 is 4

Prime Factorization of 82340


2 82340
2 41170
5 20585
23 4117
179 179
1

Prime factors of 82340 are 2,5,23,179. Prime factorization of 82340 in exponential form is:

82340 = 22×51×231×1791

Prime Factorization of 82344


2 82344
2 41172
2 20586
3 10293
47 3431
73 73
1

Prime factors of 82344 are 2,3,47,73. Prime factorization of 82344 in exponential form is:

82344 = 23×31×471×731

∴ So by taking common prime factors GCF of 82340 and 82344 is 4

Greatest Common Factor of 82340 and 82344 by matching factors method

Factors of 82340

List of positive integer factors of 82340 that divides 82340 without a remainder.

1,2,4,5,10,20,23,46,92,115,179,230,358,460,716,895,1790,3580,4117,8234,16468,20585,41170,82340

Factors of 82344

List of positive integer factors of 82344 that divides 82344 without a remainder.

1,2,3,4,6,8,12,24,47,73,94,141,146,188,219,282,292,376,438,564,584,876,1128,1752,3431,6862,10293,13724,20586,27448,41172,82344

Greatest Common Factor

We found the factors and prime factorization of 82340 and 82344. The biggest common factor number is the GCF number.
So the greatest common factor 82340 and 82344 is 4.

Also check out the Least Common Multiple of 82340 and 82344

Properties of GCF 82340 and 82344

(i) The GCF of 82340 and 82344 is associative

GCF of 82340 and 82344 = GCF of 82344 and 82340

Related Greatest Common Factor of 82340

Related Greatest Common Factor of 82344

Frequently Asked Questions on GCF of 82340 and 82344

1. What is the GCF of 82340 and 82344?

Answer: GCF of 82340 and 82344 is 4.

2. What are the Factors of 82340?

Answer: Factors of 82340 are 1, 2, 4, 5, 10, 20, 23, 46, 92, 115, 179, 230, 358, 460, 716, 895, 1790, 3580, 4117, 8234, 16468, 20585, 41170, 82340. There are 24 integers that are factors of 82340. The greatest factor of 82340 is 82340.

3. What are the Factors of 82344?

Answer: Factors of 82344 are 1, 2, 3, 4, 6, 8, 12, 24, 47, 73, 94, 141, 146, 188, 219, 282, 292, 376, 438, 564, 584, 876, 1128, 1752, 3431, 6862, 10293, 13724, 20586, 27448, 41172, 82344. There are 32 integers that are factors of 82344. The greatest factor of 82344 is 82344.

4. How to Find the GCF of 82340 and 82344?

Answer:

Greatest Common Factor of 82340 and 82344 = 4

Step 1: Find the prime factorization of 82340

82340 = 2 x 2 x 5 x 23 x 179

Step 2: Find the prime factorization of 82344

82344 = 2 x 2 x 2 x 3 x 47 x 73

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 82340 and 82344 is 4