What is the Greatest Common Factor of 41874 and 41878?

Greatest common factor (GCF) of 41874 and 41878 is 2.

GCF(41874,41878) = 2

We will now calculate the prime factors of 41874 and 41878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41874 and 41878.

How to find the GCF of 41874 and 41878?

We will first find the prime factorization of 41874 and 41878. After we will calculate the factors of 41874 and 41878 and find the biggest common factor number .

Step-1: Prime Factorization of 41874

Prime factors of 41874 are 2, 3, 7, 997. Prime factorization of 41874 in exponential form is:

41874 = 2¹ × 3¹ × 7¹ × 997¹

Step-2: Prime Factorization of 41878

Prime factors of 41878 are 2, 20939. Prime factorization of 41878 in exponential form is:

41878 = 2¹ × 20939¹

Step-3: Factors of 41874

List of positive integer factors of 41874 that divides 41874 without a remainder.

1, 2, 3, 6, 7, 14, 21, 42, 997, 1994, 2991, 5982, 6979, 13958, 20937

Step-4: Factors of 41878

List of positive integer factors of 41878 that divides 41874 without a remainder.

1, 2, 20939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41874 and 41878. The biggest common factor number is the GCF number.
So the greatest common factor 41874 and 41878 is 2.

Also check out the Least Common Multiple of 41874 and 41878