What is the Greatest Common Factor of 41925 and 41937?

Greatest common factor (GCF) of 41925 and 41937 is 3.

GCF(41925,41937) = 3

We will now calculate the prime factors of 41925 and 41937, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41925 and 41937.

How to find the GCF of 41925 and 41937?

We will first find the prime factorization of 41925 and 41937. After we will calculate the factors of 41925 and 41937 and find the biggest common factor number .

Step-1: Prime Factorization of 41925

Prime factors of 41925 are 3, 5, 13, 43. Prime factorization of 41925 in exponential form is:

41925 = 3¹ × 5² × 13¹ × 43¹

Step-2: Prime Factorization of 41937

Prime factors of 41937 are 3, 7, 1997. Prime factorization of 41937 in exponential form is:

41937 = 3¹ × 7¹ × 1997¹

Step-3: Factors of 41925

List of positive integer factors of 41925 that divides 41925 without a remainder.

1, 3, 5, 13, 15, 25, 39, 43, 65, 75, 129, 195, 215, 325, 559, 645, 975, 1075, 1677, 2795, 3225, 8385, 13975

Step-4: Factors of 41937

List of positive integer factors of 41937 that divides 41925 without a remainder.

1, 3, 7, 21, 1997, 5991, 13979

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41925 and 41937. The biggest common factor number is the GCF number.
So the greatest common factor 41925 and 41937 is 3.

Also check out the Least Common Multiple of 41925 and 41937