What is the Greatest Common Factor of 41365 and 41380?

Greatest common factor (GCF) of 41365 and 41380 is 5.

GCF(41365,41380) = 5

We will now calculate the prime factors of 41365 and 41380, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41365 and 41380.

How to find the GCF of 41365 and 41380?

We will first find the prime factorization of 41365 and 41380. After we will calculate the factors of 41365 and 41380 and find the biggest common factor number .

Step-1: Prime Factorization of 41365

Prime factors of 41365 are 5, 8273. Prime factorization of 41365 in exponential form is:

41365 = 5¹ × 8273¹

Step-2: Prime Factorization of 41380

Prime factors of 41380 are 2, 5, 2069. Prime factorization of 41380 in exponential form is:

41380 = 2² × 5¹ × 2069¹

Step-3: Factors of 41365

List of positive integer factors of 41365 that divides 41365 without a remainder.

1, 5, 8273

Step-4: Factors of 41380

List of positive integer factors of 41380 that divides 41365 without a remainder.

1, 2, 4, 5, 10, 20, 2069, 4138, 8276, 10345, 20690

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41365 and 41380. The biggest common factor number is the GCF number.
So the greatest common factor 41365 and 41380 is 5.

Also check out the Least Common Multiple of 41365 and 41380