What is the Greatest Common Factor of 41400 and 41405?

Greatest common factor (GCF) of 41400 and 41405 is 5.

GCF(41400,41405) = 5

We will now calculate the prime factors of 41400 and 41405, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41400 and 41405.

How to find the GCF of 41400 and 41405?

We will first find the prime factorization of 41400 and 41405. After we will calculate the factors of 41400 and 41405 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 41405

Prime factors of 41405 are 5, 7, 13. Prime factorization of 41405 in exponential form is:

41405 = 5¹ × 7² × 13²

Step-3: Factors of 41400

List of positive integer factors of 41400 that divides 41400 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

Step-4: Factors of 41405

List of positive integer factors of 41405 that divides 41400 without a remainder.

1, 5, 7, 13, 35, 49, 65, 91, 169, 245, 455, 637, 845, 1183, 3185, 5915, 8281

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41400 and 41405. The biggest common factor number is the GCF number.
So the greatest common factor 41400 and 41405 is 5.

Also check out the Least Common Multiple of 41400 and 41405