What is the Greatest Common Factor of 23490 and 23500?

Greatest common factor (GCF) of 23490 and 23500 is 10.

GCF(23490,23500) = 10

We will now calculate the prime factors of 23490 and 23500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23490 and 23500.

How to find the GCF of 23490 and 23500?

We will first find the prime factorization of 23490 and 23500. After we will calculate the factors of 23490 and 23500 and find the biggest common factor number .

Step-1: Prime Factorization of 23490

Prime factors of 23490 are 2, 3, 5, 29. Prime factorization of 23490 in exponential form is:

23490 = 2¹ × 3⁴ × 5¹ × 29¹

Step-2: 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-3: Factors of 23490

List of positive integer factors of 23490 that divides 23490 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 29, 30, 45, 54, 58, 81, 87, 90, 135, 145, 162, 174, 261, 270, 290, 405, 435, 522, 783, 810, 870, 1305, 1566, 2349, 2610, 3915, 4698, 7830, 11745

Step-4: Factors of 23500

List of positive integer factors of 23500 that divides 23490 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23490 and 23500. The biggest common factor number is the GCF number.
So the greatest common factor 23490 and 23500 is 10.

Also check out the Least Common Multiple of 23490 and 23500