Greatest Common Factor of 8084 and 8086

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 8084, 8086 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8084 and 8086 is 2.

GCF(8084,8086) = 2

GCF of 8084 and 8086

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

GCF of:
and

Greatest Common Factor of 8084 and 8086

GCF of 8084 and 8086 is 2

Prime Factorization of 8084


2 8084
2 4042
43 2021
47 47
1

Prime factors of 8084 are 2,43,47. Prime factorization of 8084 in exponential form is:

8084 = 22×431×471

Prime Factorization of 8086


2 8086
13 4043
311 311
1

Prime factors of 8086 are 2,13,311. Prime factorization of 8086 in exponential form is:

8086 = 21×131×3111

∴ So by taking common prime factors GCF of 8084 and 8086 is 2

Greatest Common Factor of 8084 and 8086 by matching factors method

Factors of 8084

List of positive integer factors of 8084 that divides 8084 without a remainder.

1,2,4,43,47,86,94,172,188,2021,4042,8084

Factors of 8086

List of positive integer factors of 8086 that divides 8086 without a remainder.

1,2,13,26,311,622,4043,8086

Greatest Common Factor

We found the factors and prime factorization of 8084 and 8086. The biggest common factor number is the GCF number.
So the greatest common factor 8084 and 8086 is 2.

Also check out the Least Common Multiple of 8084 and 8086

Properties of GCF 8084 and 8086

(i) The GCF of 8084 and 8086 is associative

GCF of 8084 and 8086 = GCF of 8086 and 8084

Related Greatest Common Factor of 8084

Related Greatest Common Factor of 8086

Frequently Asked Questions on GCF of 8084 and 8086

1. What is the GCF of 8084 and 8086?

Answer: GCF of 8084 and 8086 is 2.

2. What are the Factors of 8084?

Answer: Factors of 8084 are 1, 2, 4, 43, 47, 86, 94, 172, 188, 2021, 4042, 8084. There are 12 integers that are factors of 8084. The greatest factor of 8084 is 8084.

3. What are the Factors of 8086?

Answer: Factors of 8086 are 1, 2, 13, 26, 311, 622, 4043, 8086. There are 8 integers that are factors of 8086. The greatest factor of 8086 is 8086.

4. How to Find the GCF of 8084 and 8086?

Answer:

Greatest Common Factor of 8084 and 8086 = 2

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

Step 2: Find the prime factorization of 8086

8086 = 2 x 13 x 311

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 8084 and 8086 is 2