Greatest Common Factor of 8086 and 8090

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 8086, 8090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8086 and 8090 is 2.

GCF(8086,8090) = 2

GCF of 8086 and 8090

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

GCF of:
and

Greatest Common Factor of 8086 and 8090

GCF of 8086 and 8090 is 2

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

Prime Factorization of 8090


2 8090
5 4045
809 809
1

Prime factors of 8090 are 2,5,809. Prime factorization of 8090 in exponential form is:

8090 = 21×51×8091

∴ So by taking common prime factors GCF of 8086 and 8090 is 2

Greatest Common Factor of 8086 and 8090 by matching factors method

Factors of 8086

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

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

Factors of 8090

List of positive integer factors of 8090 that divides 8090 without a remainder.

1,2,5,10,809,1618,4045,8090

Greatest Common Factor

We found the factors and prime factorization of 8086 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8086 and 8090 is 2.

Also check out the Least Common Multiple of 8086 and 8090

Properties of GCF 8086 and 8090

(i) The GCF of 8086 and 8090 is associative

GCF of 8086 and 8090 = GCF of 8090 and 8086

Related Greatest Common Factor of 8086

Related Greatest Common Factor of 8090

Frequently Asked Questions on GCF of 8086 and 8090

1. What is the GCF of 8086 and 8090?

Answer: GCF of 8086 and 8090 is 2.

2. 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.

3. What are the Factors of 8090?

Answer: Factors of 8090 are 1, 2, 5, 10, 809, 1618, 4045, 8090. There are 8 integers that are factors of 8090. The greatest factor of 8090 is 8090.

4. How to Find the GCF of 8086 and 8090?

Answer:

Greatest Common Factor of 8086 and 8090 = 2

Step 1: Find the prime factorization of 8086

8086 = 2 x 13 x 311

Step 2: Find the prime factorization of 8090

8090 = 2 x 5 x 809

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 8086 and 8090 is 2