What is the Greatest Common Factor of 41925 and 41939?

Greatest common factor (GCF) of 41925 and 41939 is 1.

GCF(41925,41939) = 1

We will now calculate the prime factors of 41925 and 41939, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41925 and 41939.

How to find the GCF of 41925 and 41939?

We will first find the prime factorization of 41925 and 41939. After we will calculate the factors of 41925 and 41939 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 41939

Prime factors of 41939 are 17, 2467. Prime factorization of 41939 in exponential form is:

41939 = 17¹ × 2467¹

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 41939

List of positive integer factors of 41939 that divides 41925 without a remainder.

1, 17, 2467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41925 and 41939. The biggest common factor number is the GCF number.
So the greatest common factor 41925 and 41939 is 1.

Also check out the Least Common Multiple of 41925 and 41939