Greatest Common Factor of 8384 and 8386

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 8384, 8386 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8384 and 8386 is 2.

GCF(8384,8386) = 2

GCF of 8384 and 8386

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

GCF of:
and

Greatest Common Factor of 8384 and 8386

GCF of 8384 and 8386 is 2

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

Prime Factorization of 8386


2 8386
7 4193
599 599
1

Prime factors of 8386 are 2,7,599. Prime factorization of 8386 in exponential form is:

8386 = 21×71×5991

∴ So by taking common prime factors GCF of 8384 and 8386 is 2

Greatest Common Factor of 8384 and 8386 by matching factors method

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

Factors of 8386

List of positive integer factors of 8386 that divides 8386 without a remainder.

1,2,7,14,599,1198,4193,8386

Greatest Common Factor

We found the factors and prime factorization of 8384 and 8386. The biggest common factor number is the GCF number.
So the greatest common factor 8384 and 8386 is 2.

Also check out the Least Common Multiple of 8384 and 8386

Properties of GCF 8384 and 8386

(i) The GCF of 8384 and 8386 is associative

GCF of 8384 and 8386 = GCF of 8386 and 8384

Related Greatest Common Factor of 8384

Related Greatest Common Factor of 8386

Frequently Asked Questions on GCF of 8384 and 8386

1. What is the GCF of 8384 and 8386?

Answer: GCF of 8384 and 8386 is 2.

2. 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.

3. What are the Factors of 8386?

Answer: Factors of 8386 are 1, 2, 7, 14, 599, 1198, 4193, 8386. There are 8 integers that are factors of 8386. The greatest factor of 8386 is 8386.

4. How to Find the GCF of 8384 and 8386?

Answer:

Greatest Common Factor of 8384 and 8386 = 2

Step 1: Find the prime factorization of 8384

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

Step 2: Find the prime factorization of 8386

8386 = 2 x 7 x 599

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 8384 and 8386 is 2