What is the Greatest Common Factor of 41838 and 41848?

Greatest common factor (GCF) of 41838 and 41848 is 2.

GCF(41838,41848) = 2

We will now calculate the prime factors of 41838 and 41848, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41848.

How to find the GCF of 41838 and 41848?

We will first find the prime factorization of 41838 and 41848. After we will calculate the factors of 41838 and 41848 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 41848

Prime factors of 41848 are 2, 5231. Prime factorization of 41848 in exponential form is:

41848 = 2³ × 5231¹

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 41848

List of positive integer factors of 41848 that divides 41838 without a remainder.

1, 2, 4, 8, 5231, 10462, 20924

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41848. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41848 is 2.

Also check out the Least Common Multiple of 41838 and 41848