What is the Greatest Common Factor of 23500 and 23515?

Greatest common factor (GCF) of 23500 and 23515 is 5.

GCF(23500,23515) = 5

We will now calculate the prime factors of 23500 and 23515, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23500 and 23515.

How to find the GCF of 23500 and 23515?

We will first find the prime factorization of 23500 and 23515. After we will calculate the factors of 23500 and 23515 and find the biggest common factor number .

Step-1: Prime Factorization of 23500

Prime factors of 23500 are 2, 5, 47. Prime factorization of 23500 in exponential form is:

23500 = 2² × 5³ × 47¹

Step-2: Prime Factorization of 23515

Prime factors of 23515 are 5, 4703. Prime factorization of 23515 in exponential form is:

23515 = 5¹ × 4703¹

Step-3: Factors of 23500

List of positive integer factors of 23500 that divides 23500 without a remainder.

1, 2, 4, 5, 10, 20, 25, 47, 50, 94, 100, 125, 188, 235, 250, 470, 500, 940, 1175, 2350, 4700, 5875, 11750

Step-4: Factors of 23515

List of positive integer factors of 23515 that divides 23500 without a remainder.

1, 5, 4703

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23500 and 23515. The biggest common factor number is the GCF number.
So the greatest common factor 23500 and 23515 is 5.

Also check out the Least Common Multiple of 23500 and 23515