Greatest Common Factor of 8084 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 8084, 8090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8084 and 8090 is 2.

GCF(8084,8090) = 2

GCF of 8084 and 8090

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

GCF of:
and

Greatest Common Factor of 8084 and 8090

GCF of 8084 and 8090 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 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 8084 and 8090 is 2

Greatest Common Factor of 8084 and 8090 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 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 8084 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8084 and 8090 is 2.

Also check out the Least Common Multiple of 8084 and 8090

Properties of GCF 8084 and 8090

(i) The GCF of 8084 and 8090 is associative

GCF of 8084 and 8090 = GCF of 8090 and 8084

Related Greatest Common Factor of 8084

Related Greatest Common Factor of 8090

Frequently Asked Questions on GCF of 8084 and 8090

1. What is the GCF of 8084 and 8090?

Answer: GCF of 8084 and 8090 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 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 8084 and 8090?

Answer:

Greatest Common Factor of 8084 and 8090 = 2

Step 1: Find the prime factorization of 8084

8084 = 2 x 2 x 43 x 47

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 8084 and 8090 is 2