What is the Greatest Common Factor of 41400 and 41420?

Greatest common factor (GCF) of 41400 and 41420 is 20.

GCF(41400,41420) = 20

We will now calculate the prime factors of 41400 and 41420, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41400 and 41420.

How to find the GCF of 41400 and 41420?

We will first find the prime factorization of 41400 and 41420. After we will calculate the factors of 41400 and 41420 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 41420

Prime factors of 41420 are 2, 5, 19, 109. Prime factorization of 41420 in exponential form is:

41420 = 2² × 5¹ × 19¹ × 109¹

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 41420

List of positive integer factors of 41420 that divides 41400 without a remainder.

1, 2, 4, 5, 10, 19, 20, 38, 76, 95, 109, 190, 218, 380, 436, 545, 1090, 2071, 2180, 4142, 8284, 10355, 20710

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41400 and 41420. The biggest common factor number is the GCF number.
So the greatest common factor 41400 and 41420 is 20.

Also check out the Least Common Multiple of 41400 and 41420