What is the Greatest Common Factor of 66065 and 66077?

Greatest common factor (GCF) of 66065 and 66077 is 1.

GCF(66065,66077) = 1

We will now calculate the prime factors of 66065 and 66077, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66065 and 66077.

How to find the GCF of 66065 and 66077?

We will first find the prime factorization of 66065 and 66077. After we will calculate the factors of 66065 and 66077 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 66077

Prime factors of 66077 are 11, 6007. Prime factorization of 66077 in exponential form is:

66077 = 11¹ × 6007¹

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 66077

List of positive integer factors of 66077 that divides 66065 without a remainder.

1, 11, 6007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66065 and 66077. The biggest common factor number is the GCF number.
So the greatest common factor 66065 and 66077 is 1.

Also check out the Least Common Multiple of 66065 and 66077