What is the Greatest Common Factor of 41380 and 41390?

Greatest common factor (GCF) of 41380 and 41390 is 10.

GCF(41380,41390) = 10

We will now calculate the prime factors of 41380 and 41390, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41380 and 41390.

How to find the GCF of 41380 and 41390?

We will first find the prime factorization of 41380 and 41390. After we will calculate the factors of 41380 and 41390 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 41390

Prime factors of 41390 are 2, 5, 4139. Prime factorization of 41390 in exponential form is:

41390 = 2¹ × 5¹ × 4139¹

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 41390

List of positive integer factors of 41390 that divides 41380 without a remainder.

1, 2, 5, 10, 4139, 8278, 20695

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41380 and 41390. The biggest common factor number is the GCF number.
So the greatest common factor 41380 and 41390 is 10.

Also check out the Least Common Multiple of 41380 and 41390