Greatest Common Factor of 8078 and 8082

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 8078, 8082 i.e. 2 largest integer by which both the numbers can be divided.

Greatest common factor (GCF) of 8078 and 8082 is 2.

GCF(8078,8082) = 2

GCF of 8078 and 8082

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

GCF of:
and

Greatest Common Factor of 8078 and 8082

GCF of 8078 and 8082 is 2

Prime Factorization of 8078


2 8078
7 4039
577 577
1

Prime factors of 8078 are 2,7,577. Prime factorization of 8078 in exponential form is:

8078 = 21×71×5771

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

∴ So by taking common prime factors GCF of 8078 and 8082 is 2

Greatest Common Factor of 8078 and 8082 by matching factors method

Factors of 8078

List of positive integer factors of 8078 that divides 8078 without a remainder.

1,2,7,14,577,1154,4039,8078

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

Greatest Common Factor

We found the factors and prime factorization of 8078 and 8082. The biggest common factor number is the GCF number.
So the greatest common factor 8078 and 8082 is 2.

Also check out the Least Common Multiple of 8078 and 8082

Properties of GCF 8078 and 8082

(i) The GCF of 8078 and 8082 is associative

GCF of 8078 and 8082 = GCF of 8082 and 8078

Related Greatest Common Factor of 8078

Related Greatest Common Factor of 8082

Frequently Asked Questions on GCF of 8078 and 8082

1. What is the GCF of 8078 and 8082?

Answer: GCF of 8078 and 8082 is 2.

2. What are the Factors of 8078?

Answer: Factors of 8078 are 1, 2, 7, 14, 577, 1154, 4039, 8078. There are 8 integers that are factors of 8078. The greatest factor of 8078 is 8078.

3. 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.

4. How to Find the GCF of 8078 and 8082?

Answer:

Greatest Common Factor of 8078 and 8082 = 2

Step 1: Find the prime factorization of 8078

8078 = 2 x 7 x 577

Step 2: Find the prime factorization of 8082

8082 = 2 x 3 x 3 x 449

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 8078 and 8082 is 2