What is the Greatest Common Factor of 18065 and 18074?

Greatest common factor (GCF) of 18065 and 18074 is 1.

GCF(18065,18074) = 1

We will now calculate the prime factors of 18065 and 18074, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 18065 and 18074.

How to find the GCF of 18065 and 18074?

We will first find the prime factorization of 18065 and 18074. After we will calculate the factors of 18065 and 18074 and find the biggest common factor number .

Step-1: Prime Factorization of 18065

Prime factors of 18065 are 5, 3613. Prime factorization of 18065 in exponential form is:

18065 = 5¹ × 3613¹

Step-2: 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-3: Factors of 18065

List of positive integer factors of 18065 that divides 18065 without a remainder.

1, 5, 3613

Step-4: Factors of 18074

List of positive integer factors of 18074 that divides 18065 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 18065 and 18074. The biggest common factor number is the GCF number.
So the greatest common factor 18065 and 18074 is 1.

Also check out the Least Common Multiple of 18065 and 18074