What is the Greatest Common Factor of 41380 and 41398?

Greatest common factor (GCF) of 41380 and 41398 is 2.

GCF(41380,41398) = 2

We will now calculate the prime factors of 41380 and 41398, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41380 and 41398.

How to find the GCF of 41380 and 41398?

We will first find the prime factorization of 41380 and 41398. After we will calculate the factors of 41380 and 41398 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 41398

Prime factors of 41398 are 2, 7, 2957. Prime factorization of 41398 in exponential form is:

41398 = 2¹ × 7¹ × 2957¹

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 41398

List of positive integer factors of 41398 that divides 41380 without a remainder.

1, 2, 7, 14, 2957, 5914, 20699

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41380 and 41398. The biggest common factor number is the GCF number.
So the greatest common factor 41380 and 41398 is 2.

Also check out the Least Common Multiple of 41380 and 41398