What is the Greatest Common Factor of 23500 and 23510?

Greatest common factor (GCF) of 23500 and 23510 is 10.

GCF(23500,23510) = 10

We will now calculate the prime factors of 23500 and 23510, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23500 and 23510.

How to find the GCF of 23500 and 23510?

We will first find the prime factorization of 23500 and 23510. After we will calculate the factors of 23500 and 23510 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 23510

Prime factors of 23510 are 2, 5, 2351. Prime factorization of 23510 in exponential form is:

23510 = 2¹ × 5¹ × 2351¹

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 23510

List of positive integer factors of 23510 that divides 23500 without a remainder.

1, 2, 5, 10, 2351, 4702, 11755

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23500 and 23510. The biggest common factor number is the GCF number.
So the greatest common factor 23500 and 23510 is 10.

Also check out the Least Common Multiple of 23500 and 23510