What is the Greatest Common Factor of 41577 and 41595?

Greatest common factor (GCF) of 41577 and 41595 is 3.

GCF(41577,41595) = 3

We will now calculate the prime factors of 41577 and 41595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41577 and 41595.

How to find the GCF of 41577 and 41595?

We will first find the prime factorization of 41577 and 41595. After we will calculate the factors of 41577 and 41595 and find the biggest common factor number .

Step-1: Prime Factorization of 41577

Prime factors of 41577 are 3, 13859. Prime factorization of 41577 in exponential form is:

41577 = 3¹ × 13859¹

Step-2: Prime Factorization of 41595

Prime factors of 41595 are 3, 5, 47, 59. Prime factorization of 41595 in exponential form is:

41595 = 3¹ × 5¹ × 47¹ × 59¹

Step-3: Factors of 41577

List of positive integer factors of 41577 that divides 41577 without a remainder.

1, 3, 13859

Step-4: Factors of 41595

List of positive integer factors of 41595 that divides 41577 without a remainder.

1, 3, 5, 15, 47, 59, 141, 177, 235, 295, 705, 885, 2773, 8319, 13865

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41577 and 41595. The biggest common factor number is the GCF number.
So the greatest common factor 41577 and 41595 is 3.

Also check out the Least Common Multiple of 41577 and 41595