What is the Greatest Common Factor of 66165 and 66180?

Greatest common factor (GCF) of 66165 and 66180 is 15.

GCF(66165,66180) = 15

We will now calculate the prime factors of 66165 and 66180, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66180.

How to find the GCF of 66165 and 66180?

We will first find the prime factorization of 66165 and 66180. After we will calculate the factors of 66165 and 66180 and find the biggest common factor number .

Step-1: Prime Factorization of 66165

Prime factors of 66165 are 3, 5, 11, 401. Prime factorization of 66165 in exponential form is:

66165 = 3¹ × 5¹ × 11¹ × 401¹

Step-2: Prime Factorization of 66180

Prime factors of 66180 are 2, 3, 5, 1103. Prime factorization of 66180 in exponential form is:

66180 = 2² × 3¹ × 5¹ × 1103¹

Step-3: Factors of 66165

List of positive integer factors of 66165 that divides 66165 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 401, 1203, 2005, 4411, 6015, 13233, 22055

Step-4: Factors of 66180

List of positive integer factors of 66180 that divides 66165 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 30, 60, 1103, 2206, 3309, 4412, 5515, 6618, 11030, 13236, 16545, 22060, 33090

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66180. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66180 is 15.

Also check out the Least Common Multiple of 66165 and 66180