What is the Greatest Common Factor of 41838 and 41849?

Greatest common factor (GCF) of 41838 and 41849 is 1.

GCF(41838,41849) = 1

We will now calculate the prime factors of 41838 and 41849, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41849.

How to find the GCF of 41838 and 41849?

We will first find the prime factorization of 41838 and 41849. After we will calculate the factors of 41838 and 41849 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 41849

Prime factors of 41849 are 41849. Prime factorization of 41849 in exponential form is:

41849 = 41849¹

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 41849

List of positive integer factors of 41849 that divides 41838 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41849. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41849 is 1.

Also check out the Least Common Multiple of 41838 and 41849