What is the Greatest Common Factor of 41800 and 41811?

Greatest common factor (GCF) of 41800 and 41811 is 11.

GCF(41800,41811) = 11

We will now calculate the prime factors of 41800 and 41811, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41800 and 41811.

How to find the GCF of 41800 and 41811?

We will first find the prime factorization of 41800 and 41811. After we will calculate the factors of 41800 and 41811 and find the biggest common factor number .

Step-1: Prime Factorization of 41800

Prime factors of 41800 are 2, 5, 11, 19. Prime factorization of 41800 in exponential form is:

41800 = 2³ × 5² × 11¹ × 19¹

Step-2: Prime Factorization of 41811

Prime factors of 41811 are 3, 7, 11, 181. Prime factorization of 41811 in exponential form is:

41811 = 3¹ × 7¹ × 11¹ × 181¹

Step-3: Factors of 41800

List of positive integer factors of 41800 that divides 41800 without a remainder.

1, 2, 4, 5, 8, 10, 11, 19, 20, 22, 25, 38, 40, 44, 50, 55, 76, 88, 95, 100, 110, 152, 190, 200, 209, 220, 275, 380, 418, 440, 475, 550, 760, 836, 950, 1045, 1100, 1672, 1900, 2090, 2200, 3800, 4180, 5225, 8360, 10450, 20900

Step-4: Factors of 41811

List of positive integer factors of 41811 that divides 41800 without a remainder.

1, 3, 7, 11, 21, 33, 77, 181, 231, 543, 1267, 1991, 3801, 5973, 13937

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41800 and 41811. The biggest common factor number is the GCF number.
So the greatest common factor 41800 and 41811 is 11.

Also check out the Least Common Multiple of 41800 and 41811