What is the Greatest Common Factor of 41380 and 41395?

Greatest common factor (GCF) of 41380 and 41395 is 5.

GCF(41380,41395) = 5

We will now calculate the prime factors of 41380 and 41395, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41380 and 41395.

How to find the GCF of 41380 and 41395?

We will first find the prime factorization of 41380 and 41395. After we will calculate the factors of 41380 and 41395 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41395

Prime factors of 41395 are 5, 17, 487. Prime factorization of 41395 in exponential form is:

41395 = 5¹ × 17¹ × 487¹

Step-3: Factors of 41380

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

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

Step-4: Factors of 41395

List of positive integer factors of 41395 that divides 41380 without a remainder.

1, 5, 17, 85, 487, 2435, 8279

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41380 and 41395. The biggest common factor number is the GCF number.
So the greatest common factor 41380 and 41395 is 5.

Also check out the Least Common Multiple of 41380 and 41395