Greatest Common Factor of 8082 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 8082, 8088 i.e. 6 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8082 and 8088 is 6.

GCF(8082,8088) = 6

GCF of 8082 and 8088

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

GCF of:
and

Greatest Common Factor of 8082 and 8088

GCF of 8082 and 8088 is 6

Prime Factorization of 8082


2 8082
3 4041
3 1347
449 449
1

Prime factors of 8082 are 2,3,449. Prime factorization of 8082 in exponential form is:

8082 = 21×32×4491

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 8082 and 8088 is 6

Greatest Common Factor of 8082 and 8088 by matching factors method

Factors of 8082

List of positive integer factors of 8082 that divides 8082 without a remainder.

1,2,3,6,9,18,449,898,1347,2694,4041,8082

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 8082 and 8088. The biggest common factor number is the GCF number.
So the greatest common factor 8082 and 8088 is 6.

Also check out the Least Common Multiple of 8082 and 8088

Properties of GCF 8082 and 8088

(i) The GCF of 8082 and 8088 is associative

GCF of 8082 and 8088 = GCF of 8088 and 8082

Related Greatest Common Factor of 8082

Related Greatest Common Factor of 8088

Frequently Asked Questions on GCF of 8082 and 8088

1. What is the GCF of 8082 and 8088?

Answer: GCF of 8082 and 8088 is 6.

2. What are the Factors of 8082?

Answer: Factors of 8082 are 1, 2, 3, 6, 9, 18, 449, 898, 1347, 2694, 4041, 8082. There are 12 integers that are factors of 8082. The greatest factor of 8082 is 8082.

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 8082 and 8088?

Answer:

Greatest Common Factor of 8082 and 8088 = 6

Step 1: Find the prime factorization of 8082

8082 = 2 x 3 x 3 x 449

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 3 = 6

Step 4: Therefore, the greatest common factor of 8082 and 8088 is 6