What is the Greatest Common Factor of 47595 and 47610?

Greatest common factor (GCF) of 47595 and 47610 is 15.

GCF(47595,47610) = 15

We will now calculate the prime factors of 47595 and 47610, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 47595 and 47610.

How to find the GCF of 47595 and 47610?

We will first find the prime factorization of 47595 and 47610. After we will calculate the factors of 47595 and 47610 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 47610

Prime factors of 47610 are 2, 3, 5, 23. Prime factorization of 47610 in exponential form is:

47610 = 2¹ × 3² × 5¹ × 23²

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 47610

List of positive integer factors of 47610 that divides 47595 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 23, 30, 45, 46, 69, 90, 115, 138, 207, 230, 345, 414, 529, 690, 1035, 1058, 1587, 2070, 2645, 3174, 4761, 5290, 7935, 9522, 15870, 23805

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 47595 and 47610. The biggest common factor number is the GCF number.
So the greatest common factor 47595 and 47610 is 15.

Also check out the Least Common Multiple of 47595 and 47610