What is the Greatest Common Factor of 41905 and 41925?

Greatest common factor (GCF) of 41905 and 41925 is 5.

GCF(41905,41925) = 5

We will now calculate the prime factors of 41905 and 41925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41905 and 41925.

How to find the GCF of 41905 and 41925?

We will first find the prime factorization of 41905 and 41925. After we will calculate the factors of 41905 and 41925 and find the biggest common factor number .

Step-1: Prime Factorization of 41905

Prime factors of 41905 are 5, 17, 29. Prime factorization of 41905 in exponential form is:

41905 = 5¹ × 17² × 29¹

Step-2: 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-3: Factors of 41905

List of positive integer factors of 41905 that divides 41905 without a remainder.

1, 5, 17, 29, 85, 145, 289, 493, 1445, 2465, 8381

Step-4: Factors of 41925

List of positive integer factors of 41925 that divides 41905 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41905 and 41925. The biggest common factor number is the GCF number.
So the greatest common factor 41905 and 41925 is 5.

Also check out the Least Common Multiple of 41905 and 41925