What is the Greatest Common Factor of 47595 and 47601?

Greatest common factor (GCF) of 47595 and 47601 is 3.

GCF(47595,47601) = 3

We will now calculate the prime factors of 47595 and 47601, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47595 and 47601.

How to find the GCF of 47595 and 47601?

We will first find the prime factorization of 47595 and 47601. After we will calculate the factors of 47595 and 47601 and find the biggest common factor number .

Step-1: Prime Factorization of 47595

Prime factors of 47595 are 3, 5, 19, 167. Prime factorization of 47595 in exponential form is:

47595 = 3¹ × 5¹ × 19¹ × 167¹

Step-2: Prime Factorization of 47601

Prime factors of 47601 are 3, 41, 43. Prime factorization of 47601 in exponential form is:

47601 = 3³ × 41¹ × 43¹

Step-3: Factors of 47595

List of positive integer factors of 47595 that divides 47595 without a remainder.

1, 3, 5, 15, 19, 57, 95, 167, 285, 501, 835, 2505, 3173, 9519, 15865

Step-4: Factors of 47601

List of positive integer factors of 47601 that divides 47595 without a remainder.

1, 3, 9, 27, 41, 43, 123, 129, 369, 387, 1107, 1161, 1763, 5289, 15867

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47595 and 47601. The biggest common factor number is the GCF number.
So the greatest common factor 47595 and 47601 is 3.

Also check out the Least Common Multiple of 47595 and 47601