What is the Greatest Common Factor of 47576 and 47595?

Greatest common factor (GCF) of 47576 and 47595 is 19.

GCF(47576,47595) = 19

We will now calculate the prime factors of 47576 and 47595, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47576 and 47595.

How to find the GCF of 47576 and 47595?

We will first find the prime factorization of 47576 and 47595. After we will calculate the factors of 47576 and 47595 and find the biggest common factor number .

Step-1: Prime Factorization of 47576

Prime factors of 47576 are 2, 19, 313. Prime factorization of 47576 in exponential form is:

47576 = 2³ × 19¹ × 313¹

Step-2: 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-3: Factors of 47576

List of positive integer factors of 47576 that divides 47576 without a remainder.

1, 2, 4, 8, 19, 38, 76, 152, 313, 626, 1252, 2504, 5947, 11894, 23788

Step-4: Factors of 47595

List of positive integer factors of 47595 that divides 47576 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47576 and 47595. The biggest common factor number is the GCF number.
So the greatest common factor 47576 and 47595 is 19.

Also check out the Least Common Multiple of 47576 and 47595