What is the Greatest Common Factor of 66099 and 66111?

Greatest common factor (GCF) of 66099 and 66111 is 3.

GCF(66099,66111) = 3

We will now calculate the prime factors of 66099 and 66111, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66099 and 66111.

How to find the GCF of 66099 and 66111?

We will first find the prime factorization of 66099 and 66111. After we will calculate the factors of 66099 and 66111 and find the biggest common factor number .

Step-1: Prime Factorization of 66099

Prime factors of 66099 are 3, 11, 2003. Prime factorization of 66099 in exponential form is:

66099 = 3¹ × 11¹ × 2003¹

Step-2: Prime Factorization of 66111

Prime factors of 66111 are 3, 22037. Prime factorization of 66111 in exponential form is:

66111 = 3¹ × 22037¹

Step-3: Factors of 66099

List of positive integer factors of 66099 that divides 66099 without a remainder.

1, 3, 11, 33, 2003, 6009, 22033

Step-4: Factors of 66111

List of positive integer factors of 66111 that divides 66099 without a remainder.

1, 3, 22037

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66099 and 66111. The biggest common factor number is the GCF number.
So the greatest common factor 66099 and 66111 is 3.

Also check out the Least Common Multiple of 66099 and 66111