What is the Greatest Common Factor of 8074 and 8082?

Greatest common factor (GCF) of 8074 and 8082 is 2.

GCF(8074,8082) = 2

We will now calculate the prime factors of 8074 and 8082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8074 and 8082.

How to find the GCF of 8074 and 8082?

We will first find the prime factorization of 8074 and 8082. After we will calculate the factors of 8074 and 8082 and find the biggest common factor number .

Step-1: Prime Factorization of 8074

Prime factors of 8074 are 2, 11, 367. Prime factorization of 8074 in exponential form is:

8074 = 2¹ × 11¹ × 367¹

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 8074

List of positive integer factors of 8074 that divides 8074 without a remainder.

1, 2, 11, 22, 367, 734, 4037

Step-4: Factors of 8082

List of positive integer factors of 8082 that divides 8074 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 8074 and 8082. The biggest common factor number is the GCF number.
So the greatest common factor 8074 and 8082 is 2.

Also check out the Least Common Multiple of 8074 and 8082