What is the Greatest Common Factor of 41380 and 41400?

Greatest common factor (GCF) of 41380 and 41400 is 20.

GCF(41380,41400) = 20

We will now calculate the prime factors of 41380 and 41400, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41380 and 41400.

How to find the GCF of 41380 and 41400?

We will first find the prime factorization of 41380 and 41400. After we will calculate the factors of 41380 and 41400 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 41400

Prime factors of 41400 are 2, 3, 5, 23. Prime factorization of 41400 in exponential form is:

41400 = 2³ × 3² × 5² × 23¹

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 41400

List of positive integer factors of 41400 that divides 41380 without a remainder.

1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 23, 24, 25, 30, 36, 40, 45, 46, 50, 60, 69, 72, 75, 90, 92, 100, 115, 120, 138, 150, 180, 184, 200, 207, 225, 230, 276, 300, 345, 360, 414, 450, 460, 552, 575, 600, 690, 828, 900, 920, 1035, 1150, 1380, 1656, 1725, 1800, 2070, 2300, 2760, 3450, 4140, 4600, 5175, 6900, 8280, 10350, 13800, 20700

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41380 and 41400. The biggest common factor number is the GCF number.
So the greatest common factor 41380 and 41400 is 20.

Also check out the Least Common Multiple of 41380 and 41400