What is the Greatest Common Factor of 66165 and 66177?

Greatest common factor (GCF) of 66165 and 66177 is 3.

GCF(66165,66177) = 3

We will now calculate the prime factors of 66165 and 66177, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66177.

How to find the GCF of 66165 and 66177?

We will first find the prime factorization of 66165 and 66177. After we will calculate the factors of 66165 and 66177 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 66177

Prime factors of 66177 are 3, 19, 43. Prime factorization of 66177 in exponential form is:

66177 = 3⁴ × 19¹ × 43¹

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 66177

List of positive integer factors of 66177 that divides 66165 without a remainder.

1, 3, 9, 19, 27, 43, 57, 81, 129, 171, 387, 513, 817, 1161, 1539, 2451, 3483, 7353, 22059

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66177. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66177 is 3.

Also check out the Least Common Multiple of 66165 and 66177