What is the Greatest Common Factor of 41205 and 41225?

Greatest common factor (GCF) of 41205 and 41225 is 5.

GCF(41205,41225) = 5

We will now calculate the prime factors of 41205 and 41225, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41205 and 41225.

How to find the GCF of 41205 and 41225?

We will first find the prime factorization of 41205 and 41225. After we will calculate the factors of 41205 and 41225 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41225

Prime factors of 41225 are 5, 17, 97. Prime factorization of 41225 in exponential form is:

41225 = 5² × 17¹ × 97¹

Step-3: Factors of 41205

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

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

Step-4: Factors of 41225

List of positive integer factors of 41225 that divides 41205 without a remainder.

1, 5, 17, 25, 85, 97, 425, 485, 1649, 2425, 8245

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41205 and 41225. The biggest common factor number is the GCF number.
So the greatest common factor 41205 and 41225 is 5.

Also check out the Least Common Multiple of 41205 and 41225