What is the Greatest Common Factor of 66165 and 66170?

Greatest common factor (GCF) of 66165 and 66170 is 5.

GCF(66165,66170) = 5

We will now calculate the prime factors of 66165 and 66170, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66170.

How to find the GCF of 66165 and 66170?

We will first find the prime factorization of 66165 and 66170. After we will calculate the factors of 66165 and 66170 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 66170

Prime factors of 66170 are 2, 5, 13, 509. Prime factorization of 66170 in exponential form is:

66170 = 2¹ × 5¹ × 13¹ × 509¹

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 66170

List of positive integer factors of 66170 that divides 66165 without a remainder.

1, 2, 5, 10, 13, 26, 65, 130, 509, 1018, 2545, 5090, 6617, 13234, 33085

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66170. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66170 is 5.

Also check out the Least Common Multiple of 66165 and 66170