What is the Greatest Common Factor of 66099 and 66105?

Greatest common factor (GCF) of 66099 and 66105 is 3.

GCF(66099,66105) = 3

We will now calculate the prime factors of 66099 and 66105, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66099 and 66105.

How to find the GCF of 66099 and 66105?

We will first find the prime factorization of 66099 and 66105. After we will calculate the factors of 66099 and 66105 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 66105

Prime factors of 66105 are 3, 5, 13, 113. Prime factorization of 66105 in exponential form is:

66105 = 3² × 5¹ × 13¹ × 113¹

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 66105

List of positive integer factors of 66105 that divides 66099 without a remainder.

1, 3, 5, 9, 13, 15, 39, 45, 65, 113, 117, 195, 339, 565, 585, 1017, 1469, 1695, 4407, 5085, 7345, 13221, 22035

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66099 and 66105. The biggest common factor number is the GCF number.
So the greatest common factor 66099 and 66105 is 3.

Also check out the Least Common Multiple of 66099 and 66105