What is the Greatest Common Factor of 41838 and 41856?

Greatest common factor (GCF) of 41838 and 41856 is 6.

GCF(41838,41856) = 6

We will now calculate the prime factors of 41838 and 41856, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41856.

How to find the GCF of 41838 and 41856?

We will first find the prime factorization of 41838 and 41856. After we will calculate the factors of 41838 and 41856 and find the biggest common factor number .

Step-1: Prime Factorization of 41838

Prime factors of 41838 are 2, 3, 19, 367. Prime factorization of 41838 in exponential form is:

41838 = 2¹ × 3¹ × 19¹ × 367¹

Step-2: Prime Factorization of 41856

Prime factors of 41856 are 2, 3, 109. Prime factorization of 41856 in exponential form is:

41856 = 2⁷ × 3¹ × 109¹

Step-3: Factors of 41838

List of positive integer factors of 41838 that divides 41838 without a remainder.

1, 2, 3, 6, 19, 38, 57, 114, 367, 734, 1101, 2202, 6973, 13946, 20919

Step-4: Factors of 41856

List of positive integer factors of 41856 that divides 41838 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 109, 128, 192, 218, 327, 384, 436, 654, 872, 1308, 1744, 2616, 3488, 5232, 6976, 10464, 13952, 20928

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41856. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41856 is 6.

Also check out the Least Common Multiple of 41838 and 41856