What is the Greatest Common Factor of 18074 and 18089?

Greatest common factor (GCF) of 18074 and 18089 is 1.

GCF(18074,18089) = 1

We will now calculate the prime factors of 18074 and 18089, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18074 and 18089.

How to find the GCF of 18074 and 18089?

We will first find the prime factorization of 18074 and 18089. After we will calculate the factors of 18074 and 18089 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 18089

Prime factors of 18089 are 18089. Prime factorization of 18089 in exponential form is:

18089 = 18089¹

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 18089

List of positive integer factors of 18089 that divides 18074 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18074 and 18089. The biggest common factor number is the GCF number.
So the greatest common factor 18074 and 18089 is 1.

Also check out the Least Common Multiple of 18074 and 18089