What is the Greatest Common Factor of 41838 and 41847?

Greatest common factor (GCF) of 41838 and 41847 is 3.

GCF(41838,41847) = 3

We will now calculate the prime factors of 41838 and 41847, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41847.

How to find the GCF of 41838 and 41847?

We will first find the prime factorization of 41838 and 41847. After we will calculate the factors of 41838 and 41847 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 41847

Prime factors of 41847 are 3, 13, 29, 37. Prime factorization of 41847 in exponential form is:

41847 = 3¹ × 13¹ × 29¹ × 37¹

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 41847

List of positive integer factors of 41847 that divides 41838 without a remainder.

1, 3, 13, 29, 37, 39, 87, 111, 377, 481, 1073, 1131, 1443, 3219, 13949

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41847. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41847 is 3.

Also check out the Least Common Multiple of 41838 and 41847