Greatest Common Factor of 82380 and 82386

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 82380, 82386 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82380 and 82386 is 6.

GCF(82380,82386) = 6

GCF of 82380 and 82386

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

GCF of:
and

Greatest Common Factor of 82380 and 82386

GCF of 82380 and 82386 is 6

Prime Factorization of 82380


2 82380
2 41190
3 20595
5 6865
1373 1373
1

Prime factors of 82380 are 2,3,5,1373. Prime factorization of 82380 in exponential form is:

82380 = 22×31×51×13731

Prime Factorization of 82386


2 82386
3 41193
3 13731
23 4577
199 199
1

Prime factors of 82386 are 2,3,23,199. Prime factorization of 82386 in exponential form is:

82386 = 21×32×231×1991

∴ So by taking common prime factors GCF of 82380 and 82386 is 6

Greatest Common Factor of 82380 and 82386 by matching factors method

Factors of 82380

List of positive integer factors of 82380 that divides 82380 without a remainder.

1,2,3,4,5,6,10,12,15,20,30,60,1373,2746,4119,5492,6865,8238,13730,16476,20595,27460,41190,82380

Factors of 82386

List of positive integer factors of 82386 that divides 82386 without a remainder.

1,2,3,6,9,18,23,46,69,138,199,207,398,414,597,1194,1791,3582,4577,9154,13731,27462,41193,82386

Greatest Common Factor

We found the factors and prime factorization of 82380 and 82386. The biggest common factor number is the GCF number.
So the greatest common factor 82380 and 82386 is 6.

Also check out the Least Common Multiple of 82380 and 82386

Properties of GCF 82380 and 82386

(i) The GCF of 82380 and 82386 is associative

GCF of 82380 and 82386 = GCF of 82386 and 82380

Related Greatest Common Factor of 82380

Related Greatest Common Factor of 82386

Frequently Asked Questions on GCF of 82380 and 82386

1. What is the GCF of 82380 and 82386?

Answer: GCF of 82380 and 82386 is 6.

2. What are the Factors of 82380?

Answer: Factors of 82380 are 1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1373, 2746, 4119, 5492, 6865, 8238, 13730, 16476, 20595, 27460, 41190, 82380. There are 24 integers that are factors of 82380. The greatest factor of 82380 is 82380.

3. What are the Factors of 82386?

Answer: Factors of 82386 are 1, 2, 3, 6, 9, 18, 23, 46, 69, 138, 199, 207, 398, 414, 597, 1194, 1791, 3582, 4577, 9154, 13731, 27462, 41193, 82386. There are 24 integers that are factors of 82386. The greatest factor of 82386 is 82386.

4. How to Find the GCF of 82380 and 82386?

Answer:

Greatest Common Factor of 82380 and 82386 = 6

Step 1: Find the prime factorization of 82380

82380 = 2 x 2 x 3 x 5 x 1373

Step 2: Find the prime factorization of 82386

82386 = 2 x 3 x 3 x 23 x 199

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

GCF = 2 x 3 = 6

Step 4: Therefore, the greatest common factor of 82380 and 82386 is 6