What is the Greatest Common Factor of 41900 and 41912?

Greatest common factor (GCF) of 41900 and 41912 is 4.

GCF(41900,41912) = 4

We will now calculate the prime factors of 41900 and 41912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41900 and 41912.

How to find the GCF of 41900 and 41912?

We will first find the prime factorization of 41900 and 41912. After we will calculate the factors of 41900 and 41912 and find the biggest common factor number .

Step-1: Prime Factorization of 41900

Prime factors of 41900 are 2, 5, 419. Prime factorization of 41900 in exponential form is:

41900 = 2² × 5² × 419¹

Step-2: Prime Factorization of 41912

Prime factors of 41912 are 2, 13, 31. Prime factorization of 41912 in exponential form is:

41912 = 2³ × 13² × 31¹

Step-3: Factors of 41900

List of positive integer factors of 41900 that divides 41900 without a remainder.

1, 2, 4, 5, 10, 20, 25, 50, 100, 419, 838, 1676, 2095, 4190, 8380, 10475, 20950

Step-4: Factors of 41912

List of positive integer factors of 41912 that divides 41900 without a remainder.

1, 2, 4, 8, 13, 26, 31, 52, 62, 104, 124, 169, 248, 338, 403, 676, 806, 1352, 1612, 3224, 5239, 10478, 20956

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41900 and 41912. The biggest common factor number is the GCF number.
So the greatest common factor 41900 and 41912 is 4.

Also check out the Least Common Multiple of 41900 and 41912