Greatest Common Factor of 8080 and 8088

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 8080, 8088 i.e. 8 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8080 and 8088 is 8.

GCF(8080,8088) = 8

GCF of 8080 and 8088

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

GCF of:
and

Greatest Common Factor of 8080 and 8088

GCF of 8080 and 8088 is 8

Prime Factorization of 8080


2 8080
2 4040
2 2020
2 1010
5 505
101 101
1

Prime factors of 8080 are 2,5,101. Prime factorization of 8080 in exponential form is:

8080 = 24×51×1011

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

∴ So by taking common prime factors GCF of 8080 and 8088 is 8

Greatest Common Factor of 8080 and 8088 by matching factors method

Factors of 8080

List of positive integer factors of 8080 that divides 8080 without a remainder.

1,2,4,5,8,10,16,20,40,80,101,202,404,505,808,1010,1616,2020,4040,8080

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

Greatest Common Factor

We found the factors and prime factorization of 8080 and 8088. The biggest common factor number is the GCF number.
So the greatest common factor 8080 and 8088 is 8.

Also check out the Least Common Multiple of 8080 and 8088

Properties of GCF 8080 and 8088

(i) The GCF of 8080 and 8088 is associative

GCF of 8080 and 8088 = GCF of 8088 and 8080

Related Greatest Common Factor of 8080

Related Greatest Common Factor of 8088

Frequently Asked Questions on GCF of 8080 and 8088

1. What is the GCF of 8080 and 8088?

Answer: GCF of 8080 and 8088 is 8.

2. What are the Factors of 8080?

Answer: Factors of 8080 are 1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 101, 202, 404, 505, 808, 1010, 1616, 2020, 4040, 8080. There are 20 integers that are factors of 8080. The greatest factor of 8080 is 8080.

3. 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.

4. How to Find the GCF of 8080 and 8088?

Answer:

Greatest Common Factor of 8080 and 8088 = 8

Step 1: Find the prime factorization of 8080

8080 = 2 x 2 x 2 x 2 x 5 x 101

Step 2: Find the prime factorization of 8088

8088 = 2 x 2 x 2 x 3 x 337

Step 3: Multiply those factors both numbers have in common in steps i) or ii) above to find the gcf:

GCF = 2 x 2 x 2 = 8

Step 4: Therefore, the greatest common factor of 8080 and 8088 is 8