Greatest Common Factor of 82376 and 82384

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, 82384 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 82376 and 82384 is 8.

GCF(82376,82384) = 8

GCF of 82376 and 82384

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

GCF of:
and

Greatest Common Factor of 82376 and 82384

GCF of 82376 and 82384 is 8

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 82384


2 82384
2 41192
2 20596
2 10298
19 5149
271 271
1

Prime factors of 82384 are 2,19,271. Prime factorization of 82384 in exponential form is:

82384 = 24×191×2711

∴ So by taking common prime factors GCF of 82376 and 82384 is 8

Greatest Common Factor of 82376 and 82384 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 82384

List of positive integer factors of 82384 that divides 82384 without a remainder.

1,2,4,8,16,19,38,76,152,271,304,542,1084,2168,4336,5149,10298,20596,41192,82384

Greatest Common Factor

We found the factors and prime factorization of 82376 and 82384. The biggest common factor number is the GCF number.
So the greatest common factor 82376 and 82384 is 8.

Also check out the Least Common Multiple of 82376 and 82384

Properties of GCF 82376 and 82384

(i) The GCF of 82376 and 82384 is associative

GCF of 82376 and 82384 = GCF of 82384 and 82376

Related Greatest Common Factor of 82376

Related Greatest Common Factor of 82384

Frequently Asked Questions on GCF of 82376 and 82384

1. What is the GCF of 82376 and 82384?

Answer: GCF of 82376 and 82384 is 8.

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 82384?

Answer: Factors of 82384 are 1, 2, 4, 8, 16, 19, 38, 76, 152, 271, 304, 542, 1084, 2168, 4336, 5149, 10298, 20596, 41192, 82384. There are 20 integers that are factors of 82384. The greatest factor of 82384 is 82384.

4. How to Find the GCF of 82376 and 82384?

Answer:

Greatest Common Factor of 82376 and 82384 = 8

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 82384

82384 = 2 x 2 x 2 x 2 x 19 x 271

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

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 82376 and 82384 is 8