What is the Greatest Common Factor of 41874 and 41889?

Greatest common factor (GCF) of 41874 and 41889 is 3.

GCF(41874,41889) = 3

We will now calculate the prime factors of 41874 and 41889, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41874 and 41889.

How to find the GCF of 41874 and 41889?

We will first find the prime factorization of 41874 and 41889. After we will calculate the factors of 41874 and 41889 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 41889

Prime factors of 41889 are 3, 13963. Prime factorization of 41889 in exponential form is:

41889 = 3¹ × 13963¹

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 41889

List of positive integer factors of 41889 that divides 41874 without a remainder.

1, 3, 13963

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41874 and 41889. The biggest common factor number is the GCF number.
So the greatest common factor 41874 and 41889 is 3.

Also check out the Least Common Multiple of 41874 and 41889