What is the Greatest Common Factor of 41925 and 41938?

Greatest common factor (GCF) of 41925 and 41938 is 13.

GCF(41925,41938) = 13

We will now calculate the prime factors of 41925 and 41938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41925 and 41938.

How to find the GCF of 41925 and 41938?

We will first find the prime factorization of 41925 and 41938. After we will calculate the factors of 41925 and 41938 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 41938

Prime factors of 41938 are 2, 13, 1613. Prime factorization of 41938 in exponential form is:

41938 = 2¹ × 13¹ × 1613¹

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 41938

List of positive integer factors of 41938 that divides 41925 without a remainder.

1, 2, 13, 26, 1613, 3226, 20969

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41925 and 41938. The biggest common factor number is the GCF number.
So the greatest common factor 41925 and 41938 is 13.

Also check out the Least Common Multiple of 41925 and 41938