What is the Greatest Common Factor of 18074 and 18082?

Greatest common factor (GCF) of 18074 and 18082 is 2.

GCF(18074,18082) = 2

We will now calculate the prime factors of 18074 and 18082, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18074 and 18082.

How to find the GCF of 18074 and 18082?

We will first find the prime factorization of 18074 and 18082. After we will calculate the factors of 18074 and 18082 and find the biggest common factor number .

Step-1: Prime Factorization of 18074

Prime factors of 18074 are 2, 7, 1291. Prime factorization of 18074 in exponential form is:

18074 = 2¹ × 7¹ × 1291¹

Step-2: Prime Factorization of 18082

Prime factors of 18082 are 2, 9041. Prime factorization of 18082 in exponential form is:

18082 = 2¹ × 9041¹

Step-3: Factors of 18074

List of positive integer factors of 18074 that divides 18074 without a remainder.

1, 2, 7, 14, 1291, 2582, 9037

Step-4: Factors of 18082

List of positive integer factors of 18082 that divides 18074 without a remainder.

1, 2, 9041

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18074 and 18082. The biggest common factor number is the GCF number.
So the greatest common factor 18074 and 18082 is 2.

Also check out the Least Common Multiple of 18074 and 18082