Greatest Common Factor of 82376 and 82380

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 82376, 82380 i.e. 4 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82376 and 82380 is 4.

GCF(82376,82380) = 4

GCF of 82376 and 82380

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

GCF of:
and

Greatest Common Factor of 82376 and 82380

GCF of 82376 and 82380 is 4

Prime Factorization of 82376


2 82376
2 41188
2 20594
7 10297
1471 1471
1

Prime factors of 82376 are 2,7,1471. Prime factorization of 82376 in exponential form is:

82376 = 23×71×14711

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

∴ So by taking common prime factors GCF of 82376 and 82380 is 4

Greatest Common Factor of 82376 and 82380 by matching factors method

Factors of 82376

List of positive integer factors of 82376 that divides 82376 without a remainder.

1,2,4,7,8,14,28,56,1471,2942,5884,10297,11768,20594,41188,82376

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

Greatest Common Factor

We found the factors and prime factorization of 82376 and 82380. The biggest common factor number is the GCF number.
So the greatest common factor 82376 and 82380 is 4.

Also check out the Least Common Multiple of 82376 and 82380

Properties of GCF 82376 and 82380

(i) The GCF of 82376 and 82380 is associative

GCF of 82376 and 82380 = GCF of 82380 and 82376

Related Greatest Common Factor of 82376

Related Greatest Common Factor of 82380

Frequently Asked Questions on GCF of 82376 and 82380

1. What is the GCF of 82376 and 82380?

Answer: GCF of 82376 and 82380 is 4.

2. What are the Factors of 82376?

Answer: Factors of 82376 are 1, 2, 4, 7, 8, 14, 28, 56, 1471, 2942, 5884, 10297, 11768, 20594, 41188, 82376. There are 16 integers that are factors of 82376. The greatest factor of 82376 is 82376.

3. 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.

4. How to Find the GCF of 82376 and 82380?

Answer:

Greatest Common Factor of 82376 and 82380 = 4

Step 1: Find the prime factorization of 82376

82376 = 2 x 2 x 2 x 7 x 1471

Step 2: Find the prime factorization of 82380

82380 = 2 x 2 x 3 x 5 x 1373

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 82376 and 82380 is 4