What is the Greatest Common Factor of 41605 and 41625?

Greatest common factor (GCF) of 41605 and 41625 is 5.

GCF(41605,41625) = 5

We will now calculate the prime factors of 41605 and 41625, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 41605 and 41625.

How to find the GCF of 41605 and 41625?

We will first find the prime factorization of 41605 and 41625. After we will calculate the factors of 41605 and 41625 and find the biggest common factor number .

Step-1: Prime Factorization of 41605

Prime factors of 41605 are 5, 53, 157. Prime factorization of 41605 in exponential form is:

41605 = 5¹ × 53¹ × 157¹

Step-2: Prime Factorization of 41625

Prime factors of 41625 are 3, 5, 37. Prime factorization of 41625 in exponential form is:

41625 = 3² × 5³ × 37¹

Step-3: Factors of 41605

List of positive integer factors of 41605 that divides 41605 without a remainder.

1, 5, 53, 157, 265, 785, 8321

Step-4: Factors of 41625

List of positive integer factors of 41625 that divides 41605 without a remainder.

1, 3, 5, 9, 15, 25, 37, 45, 75, 111, 125, 185, 225, 333, 375, 555, 925, 1125, 1665, 2775, 4625, 8325, 13875

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 41605 and 41625. The biggest common factor number is the GCF number.
So the greatest common factor 41605 and 41625 is 5.

Also check out the Least Common Multiple of 41605 and 41625