What is the Greatest Common Factor of 66165 and 66178?

Greatest common factor (GCF) of 66165 and 66178 is 1.

GCF(66165,66178) = 1

We will now calculate the prime factors of 66165 and 66178, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66178.

How to find the GCF of 66165 and 66178?

We will first find the prime factorization of 66165 and 66178. After we will calculate the factors of 66165 and 66178 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 66178

Prime factors of 66178 are 2, 7, 29, 163. Prime factorization of 66178 in exponential form is:

66178 = 2¹ × 7¹ × 29¹ × 163¹

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 66178

List of positive integer factors of 66178 that divides 66165 without a remainder.

1, 2, 7, 14, 29, 58, 163, 203, 326, 406, 1141, 2282, 4727, 9454, 33089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66178. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66178 is 1.

Also check out the Least Common Multiple of 66165 and 66178