What is the Greatest Common Factor of 41838 and 41854?

Greatest common factor (GCF) of 41838 and 41854 is 2.

GCF(41838,41854) = 2

We will now calculate the prime factors of 41838 and 41854, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41838 and 41854.

How to find the GCF of 41838 and 41854?

We will first find the prime factorization of 41838 and 41854. After we will calculate the factors of 41838 and 41854 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 41854

Prime factors of 41854 are 2, 17, 1231. Prime factorization of 41854 in exponential form is:

41854 = 2¹ × 17¹ × 1231¹

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 41854

List of positive integer factors of 41854 that divides 41838 without a remainder.

1, 2, 17, 34, 1231, 2462, 20927

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41838 and 41854. The biggest common factor number is the GCF number.
So the greatest common factor 41838 and 41854 is 2.

Also check out the Least Common Multiple of 41838 and 41854