What is the Greatest Common Factor of 66065 and 66081?

Greatest common factor (GCF) of 66065 and 66081 is 1.

GCF(66065,66081) = 1

We will now calculate the prime factors of 66065 and 66081, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66065 and 66081.

How to find the GCF of 66065 and 66081?

We will first find the prime factorization of 66065 and 66081. After we will calculate the factors of 66065 and 66081 and find the biggest common factor number .

Step-1: Prime Factorization of 66065

Prime factors of 66065 are 5, 73, 181. Prime factorization of 66065 in exponential form is:

66065 = 5¹ × 73¹ × 181¹

Step-2: Prime Factorization of 66081

Prime factors of 66081 are 3, 22027. Prime factorization of 66081 in exponential form is:

66081 = 3¹ × 22027¹

Step-3: Factors of 66065

List of positive integer factors of 66065 that divides 66065 without a remainder.

1, 5, 73, 181, 365, 905, 13213

Step-4: Factors of 66081

List of positive integer factors of 66081 that divides 66065 without a remainder.

1, 3, 22027

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66065 and 66081. The biggest common factor number is the GCF number.
So the greatest common factor 66065 and 66081 is 1.

Also check out the Least Common Multiple of 66065 and 66081