What is the Greatest Common Factor of 8082 and 8088?

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

GCF(8082,8088) = 6

We will now calculate the prime factors of 8082 and 8088, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8082 and 8088.

How to find the GCF of 8082 and 8088?

We will first find the prime factorization of 8082 and 8088. After we will calculate the factors of 8082 and 8088 and find the biggest common factor number .

Step-1: Prime Factorization of 8082

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

8082 = 2¹ × 3² × 449¹

Step-2: Prime Factorization of 8088

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

8088 = 2³ × 3¹ × 337¹

Step-3: 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

Step-4: Factors of 8088

List of positive integer factors of 8088 that divides 8082 without a remainder.

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

Final Step: Biggest Common Factor Number

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