What is the Greatest Common Factor of 66165 and 66175?

Greatest common factor (GCF) of 66165 and 66175 is 5.

GCF(66165,66175) = 5

We will now calculate the prime factors of 66165 and 66175, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66165 and 66175.

How to find the GCF of 66165 and 66175?

We will first find the prime factorization of 66165 and 66175. After we will calculate the factors of 66165 and 66175 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 66175

Prime factors of 66175 are 5, 2647. Prime factorization of 66175 in exponential form is:

66175 = 5² × 2647¹

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 66175

List of positive integer factors of 66175 that divides 66165 without a remainder.

1, 5, 25, 2647, 13235

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66165 and 66175. The biggest common factor number is the GCF number.
So the greatest common factor 66165 and 66175 is 5.

Also check out the Least Common Multiple of 66165 and 66175