What is the Greatest Common Factor of 66145 and 66165?

Greatest common factor (GCF) of 66145 and 66165 is 5.

GCF(66145,66165) = 5

We will now calculate the prime factors of 66145 and 66165, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 66145 and 66165.

How to find the GCF of 66145 and 66165?

We will first find the prime factorization of 66145 and 66165. After we will calculate the factors of 66145 and 66165 and find the biggest common factor number .

Step-1: Prime Factorization of 66145

Prime factors of 66145 are 5, 13229. Prime factorization of 66145 in exponential form is:

66145 = 5¹ × 13229¹

Step-2: 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-3: Factors of 66145

List of positive integer factors of 66145 that divides 66145 without a remainder.

1, 5, 13229

Step-4: Factors of 66165

List of positive integer factors of 66165 that divides 66145 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 401, 1203, 2005, 4411, 6015, 13233, 22055

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 66145 and 66165. The biggest common factor number is the GCF number.
So the greatest common factor 66145 and 66165 is 5.

Also check out the Least Common Multiple of 66145 and 66165