What is the Greatest Common Factor of 41187 and 41205?

Greatest common factor (GCF) of 41187 and 41205 is 3.

GCF(41187,41205) = 3

We will now calculate the prime factors of 41187 and 41205, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41187 and 41205.

How to find the GCF of 41187 and 41205?

We will first find the prime factorization of 41187 and 41205. After we will calculate the factors of 41187 and 41205 and find the biggest common factor number .

Step-1: Prime Factorization of 41187

Prime factors of 41187 are 3, 13729. Prime factorization of 41187 in exponential form is:

41187 = 3¹ × 13729¹

Step-2: Prime Factorization of 41205

Prime factors of 41205 are 3, 5, 41, 67. Prime factorization of 41205 in exponential form is:

41205 = 3¹ × 5¹ × 41¹ × 67¹

Step-3: Factors of 41187

List of positive integer factors of 41187 that divides 41187 without a remainder.

1, 3, 13729

Step-4: Factors of 41205

List of positive integer factors of 41205 that divides 41187 without a remainder.

1, 3, 5, 15, 41, 67, 123, 201, 205, 335, 615, 1005, 2747, 8241, 13735

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41187 and 41205. The biggest common factor number is the GCF number.
So the greatest common factor 41187 and 41205 is 3.

Also check out the Least Common Multiple of 41187 and 41205