What is the Greatest Common Factor of 66795 and 66810?

Greatest common factor (GCF) of 66795 and 66810 is 15.

GCF(66795,66810) = 15

We will now calculate the prime factors of 66795 and 66810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66795 and 66810.

How to find the GCF of 66795 and 66810?

We will first find the prime factorization of 66795 and 66810. After we will calculate the factors of 66795 and 66810 and find the biggest common factor number .

Step-1: Prime Factorization of 66795

Prime factors of 66795 are 3, 5, 61, 73. Prime factorization of 66795 in exponential form is:

66795 = 3¹ × 5¹ × 61¹ × 73¹

Step-2: Prime Factorization of 66810

Prime factors of 66810 are 2, 3, 5, 17, 131. Prime factorization of 66810 in exponential form is:

66810 = 2¹ × 3¹ × 5¹ × 17¹ × 131¹

Step-3: Factors of 66795

List of positive integer factors of 66795 that divides 66795 without a remainder.

1, 3, 5, 15, 61, 73, 183, 219, 305, 365, 915, 1095, 4453, 13359, 22265

Step-4: Factors of 66810

List of positive integer factors of 66810 that divides 66795 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 34, 51, 85, 102, 131, 170, 255, 262, 393, 510, 655, 786, 1310, 1965, 2227, 3930, 4454, 6681, 11135, 13362, 22270, 33405

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66795 and 66810. The biggest common factor number is the GCF number.
So the greatest common factor 66795 and 66810 is 15.

Also check out the Least Common Multiple of 66795 and 66810