Greatest Common Factor of 8088 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 8088, 8090 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8088 and 8090 is 2.

GCF(8088,8090) = 2

GCF of 8088 and 8090

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

GCF of:
and

Greatest Common Factor of 8088 and 8090

GCF of 8088 and 8090 is 2

Prime Factorization of 8088


2 8088
2 4044
2 2022
3 1011
337 337
1

Prime factors of 8088 are 2,3,337. Prime factorization of 8088 in exponential form is:

8088 = 23×31×3371

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 8088 and 8090 is 2

Greatest Common Factor of 8088 and 8090 by matching factors method

Factors of 8088

List of positive integer factors of 8088 that divides 8088 without a remainder.

1,2,3,4,6,8,12,24,337,674,1011,1348,2022,2696,4044,8088

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 8088 and 8090. The biggest common factor number is the GCF number.
So the greatest common factor 8088 and 8090 is 2.

Also check out the Least Common Multiple of 8088 and 8090

Properties of GCF 8088 and 8090

(i) The GCF of 8088 and 8090 is associative

GCF of 8088 and 8090 = GCF of 8090 and 8088

Related Greatest Common Factor of 8088

Related Greatest Common Factor of 8090

Frequently Asked Questions on GCF of 8088 and 8090

1. What is the GCF of 8088 and 8090?

Answer: GCF of 8088 and 8090 is 2.

2. What are the Factors of 8088?

Answer: Factors of 8088 are 1, 2, 3, 4, 6, 8, 12, 24, 337, 674, 1011, 1348, 2022, 2696, 4044, 8088. There are 16 integers that are factors of 8088. The greatest factor of 8088 is 8088.

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 8088 and 8090?

Answer:

Greatest Common Factor of 8088 and 8090 = 2

Step 1: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

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 8088 and 8090 is 2