Greatest Common Factor of 8382 and 8384

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 8382, 8384 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8382 and 8384 is 2.

GCF(8382,8384) = 2

GCF of 8382 and 8384

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

GCF of:
and

Greatest Common Factor of 8382 and 8384

GCF of 8382 and 8384 is 2

Prime Factorization of 8382


2 8382
3 4191
11 1397
127 127
1

Prime factors of 8382 are 2,3,11,127. Prime factorization of 8382 in exponential form is:

8382 = 21×31×111×1271

Prime Factorization of 8384


2 8384
2 4192
2 2096
2 1048
2 524
2 262
131 131
1

Prime factors of 8384 are 2,131. Prime factorization of 8384 in exponential form is:

8384 = 26×1311

∴ So by taking common prime factors GCF of 8382 and 8384 is 2

Greatest Common Factor of 8382 and 8384 by matching factors method

Factors of 8382

List of positive integer factors of 8382 that divides 8382 without a remainder.

1,2,3,6,11,22,33,66,127,254,381,762,1397,2794,4191,8382

Factors of 8384

List of positive integer factors of 8384 that divides 8384 without a remainder.

1,2,4,8,16,32,64,131,262,524,1048,2096,4192,8384

Greatest Common Factor

We found the factors and prime factorization of 8382 and 8384. The biggest common factor number is the GCF number.
So the greatest common factor 8382 and 8384 is 2.

Also check out the Least Common Multiple of 8382 and 8384

Properties of GCF 8382 and 8384

(i) The GCF of 8382 and 8384 is associative

GCF of 8382 and 8384 = GCF of 8384 and 8382

Related Greatest Common Factor of 8382

Related Greatest Common Factor of 8384

Frequently Asked Questions on GCF of 8382 and 8384

1. What is the GCF of 8382 and 8384?

Answer: GCF of 8382 and 8384 is 2.

2. What are the Factors of 8382?

Answer: Factors of 8382 are 1, 2, 3, 6, 11, 22, 33, 66, 127, 254, 381, 762, 1397, 2794, 4191, 8382. There are 16 integers that are factors of 8382. The greatest factor of 8382 is 8382.

3. What are the Factors of 8384?

Answer: Factors of 8384 are 1, 2, 4, 8, 16, 32, 64, 131, 262, 524, 1048, 2096, 4192, 8384. There are 14 integers that are factors of 8384. The greatest factor of 8384 is 8384.

4. How to Find the GCF of 8382 and 8384?

Answer:

Greatest Common Factor of 8382 and 8384 = 2

Step 1: Find the prime factorization of 8382

8382 = 2 x 3 x 11 x 127

Step 2: Find the prime factorization of 8384

8384 = 2 x 2 x 2 x 2 x 2 x 2 x 131

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

GCF = 2

Step 4: Therefore, the greatest common factor of 8382 and 8384 is 2