What is the Greatest Common Factor of 8067 and 8082?

Greatest common factor (GCF) of 8067 and 8082 is 3.

GCF(8067,8082) = 3

We will now calculate the prime factors of 8067 and 8082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8067 and 8082.

How to find the GCF of 8067 and 8082?

We will first find the prime factorization of 8067 and 8082. After we will calculate the factors of 8067 and 8082 and find the biggest common factor number .

Step-1: Prime Factorization of 8067

Prime factors of 8067 are 3, 2689. Prime factorization of 8067 in exponential form is:

8067 = 3¹ × 2689¹

Step-2: 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-3: Factors of 8067

List of positive integer factors of 8067 that divides 8067 without a remainder.

1, 3, 2689

Step-4: Factors of 8082

List of positive integer factors of 8082 that divides 8067 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8067 and 8082. The biggest common factor number is the GCF number.
So the greatest common factor 8067 and 8082 is 3.

Also check out the Least Common Multiple of 8067 and 8082