What is the Greatest Common Factor of 41380 and 41389?

Greatest common factor (GCF) of 41380 and 41389 is 1.

GCF(41380,41389) = 1

We will now calculate the prime factors of 41380 and 41389, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41380 and 41389.

How to find the GCF of 41380 and 41389?

We will first find the prime factorization of 41380 and 41389. After we will calculate the factors of 41380 and 41389 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 41389

Prime factors of 41389 are 41389. Prime factorization of 41389 in exponential form is:

41389 = 41389¹

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 41389

List of positive integer factors of 41389 that divides 41380 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41380 and 41389. The biggest common factor number is the GCF number.
So the greatest common factor 41380 and 41389 is 1.

Also check out the Least Common Multiple of 41380 and 41389