What is the Greatest Common Factor of 41838 and 41857?

Greatest common factor (GCF) of 41838 and 41857 is 19.

GCF(41838,41857) = 19

We will now calculate the prime factors of 41838 and 41857, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41857.

How to find the GCF of 41838 and 41857?

We will first find the prime factorization of 41838 and 41857. After we will calculate the factors of 41838 and 41857 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 41857

Prime factors of 41857 are 19, 2203. Prime factorization of 41857 in exponential form is:

41857 = 19¹ × 2203¹

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 41857

List of positive integer factors of 41857 that divides 41838 without a remainder.

1, 19, 2203

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41857. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41857 is 19.

Also check out the Least Common Multiple of 41838 and 41857