What is the Greatest Common Factor of 41306 and 41325?

Greatest common factor (GCF) of 41306 and 41325 is 19.

GCF(41306,41325) = 19

We will now calculate the prime factors of 41306 and 41325, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41306 and 41325.

How to find the GCF of 41306 and 41325?

We will first find the prime factorization of 41306 and 41325. After we will calculate the factors of 41306 and 41325 and find the biggest common factor number .

Step-1: Prime Factorization of 41306

Prime factors of 41306 are 2, 19, 1087. Prime factorization of 41306 in exponential form is:

41306 = 2¹ × 19¹ × 1087¹

Step-2: Prime Factorization of 41325

Prime factors of 41325 are 3, 5, 19, 29. Prime factorization of 41325 in exponential form is:

41325 = 3¹ × 5² × 19¹ × 29¹

Step-3: Factors of 41306

List of positive integer factors of 41306 that divides 41306 without a remainder.

1, 2, 19, 38, 1087, 2174, 20653

Step-4: Factors of 41325

List of positive integer factors of 41325 that divides 41306 without a remainder.

1, 3, 5, 15, 19, 25, 29, 57, 75, 87, 95, 145, 285, 435, 475, 551, 725, 1425, 1653, 2175, 2755, 8265, 13775

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41306 and 41325. The biggest common factor number is the GCF number.
So the greatest common factor 41306 and 41325 is 19.

Also check out the Least Common Multiple of 41306 and 41325