What is the Greatest Common Factor of 8082 and 8094?

Greatest common factor (GCF) of 8082 and 8094 is 6.

GCF(8082,8094) = 6

We will now calculate the prime factors of 8082 and 8094, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8082 and 8094.

How to find the GCF of 8082 and 8094?

We will first find the prime factorization of 8082 and 8094. After we will calculate the factors of 8082 and 8094 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 8094

Prime factors of 8094 are 2, 3, 19, 71. Prime factorization of 8094 in exponential form is:

8094 = 2¹ × 3¹ × 19¹ × 71¹

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 8094

List of positive integer factors of 8094 that divides 8082 without a remainder.

1, 2, 3, 6, 19, 38, 57, 71, 114, 142, 213, 426, 1349, 2698, 4047

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8082 and 8094. The biggest common factor number is the GCF number.
So the greatest common factor 8082 and 8094 is 6.

Also check out the Least Common Multiple of 8082 and 8094