What is the Greatest Common Factor of 41864 and 41874?

Greatest common factor (GCF) of 41864 and 41874 is 2.

GCF(41864,41874) = 2

We will now calculate the prime factors of 41864 and 41874, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41864 and 41874.

How to find the GCF of 41864 and 41874?

We will first find the prime factorization of 41864 and 41874. After we will calculate the factors of 41864 and 41874 and find the biggest common factor number .

Step-1: Prime Factorization of 41864

Prime factors of 41864 are 2, 5233. Prime factorization of 41864 in exponential form is:

41864 = 2³ × 5233¹

Step-2: 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-3: Factors of 41864

List of positive integer factors of 41864 that divides 41864 without a remainder.

1, 2, 4, 8, 5233, 10466, 20932

Step-4: Factors of 41874

List of positive integer factors of 41874 that divides 41864 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41864 and 41874. The biggest common factor number is the GCF number.
So the greatest common factor 41864 and 41874 is 2.

Also check out the Least Common Multiple of 41864 and 41874