What is the Greatest Common Factor of 41824 and 41838?

Greatest common factor (GCF) of 41824 and 41838 is 2.

GCF(41824,41838) = 2

We will now calculate the prime factors of 41824 and 41838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41824 and 41838.

How to find the GCF of 41824 and 41838?

We will first find the prime factorization of 41824 and 41838. After we will calculate the factors of 41824 and 41838 and find the biggest common factor number .

Step-1: Prime Factorization of 41824

Prime factors of 41824 are 2, 1307. Prime factorization of 41824 in exponential form is:

41824 = 2⁵ × 1307¹

Step-2: 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-3: Factors of 41824

List of positive integer factors of 41824 that divides 41824 without a remainder.

1, 2, 4, 8, 16, 32, 1307, 2614, 5228, 10456, 20912

Step-4: Factors of 41838

List of positive integer factors of 41838 that divides 41824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41824 and 41838. The biggest common factor number is the GCF number.
So the greatest common factor 41824 and 41838 is 2.

Also check out the Least Common Multiple of 41824 and 41838