What is the Greatest Common Factor of 66150 and 66165?

Greatest common factor (GCF) of 66150 and 66165 is 15.

GCF(66150,66165) = 15

We will now calculate the prime factors of 66150 and 66165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66150 and 66165.

How to find the GCF of 66150 and 66165?

We will first find the prime factorization of 66150 and 66165. After we will calculate the factors of 66150 and 66165 and find the biggest common factor number .

Step-1: Prime Factorization of 66150

Prime factors of 66150 are 2, 3, 5, 7. Prime factorization of 66150 in exponential form is:

66150 = 2¹ × 3³ × 5² × 7²

Step-2: 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-3: Factors of 66150

List of positive integer factors of 66150 that divides 66150 without a remainder.

1, 2, 3, 5, 6, 7, 9, 10, 14, 15, 18, 21, 25, 27, 30, 35, 42, 45, 49, 50, 54, 63, 70, 75, 90, 98, 105, 126, 135, 147, 150, 175, 189, 210, 225, 245, 270, 294, 315, 350, 378, 441, 450, 490, 525, 630, 675, 735, 882, 945, 1050, 1225, 1323, 1350, 1470, 1575, 1890, 2205, 2450, 2646, 3150, 3675, 4410, 4725, 6615, 7350, 9450, 11025, 13230, 22050, 33075

Step-4: Factors of 66165

List of positive integer factors of 66165 that divides 66150 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66150 and 66165. The biggest common factor number is the GCF number.
So the greatest common factor 66150 and 66165 is 15.

Also check out the Least Common Multiple of 66150 and 66165