What is the Greatest Common Factor of 41400 and 41415?

Greatest common factor (GCF) of 41400 and 41415 is 15.

GCF(41400,41415) = 15

We will now calculate the prime factors of 41400 and 41415, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41400 and 41415.

How to find the GCF of 41400 and 41415?

We will first find the prime factorization of 41400 and 41415. After we will calculate the factors of 41400 and 41415 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 41415

Prime factors of 41415 are 3, 5, 11, 251. Prime factorization of 41415 in exponential form is:

41415 = 3¹ × 5¹ × 11¹ × 251¹

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 41415

List of positive integer factors of 41415 that divides 41400 without a remainder.

1, 3, 5, 11, 15, 33, 55, 165, 251, 753, 1255, 2761, 3765, 8283, 13805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41400 and 41415. The biggest common factor number is the GCF number.
So the greatest common factor 41400 and 41415 is 15.

Also check out the Least Common Multiple of 41400 and 41415