What is the Greatest Common Factor of 25488 and 25500?

Greatest common factor (GCF) of 25488 and 25500 is 12.

GCF(25488,25500) = 12

We will now calculate the prime factors of 25488 and 25500, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25488 and 25500.

How to find the GCF of 25488 and 25500?

We will first find the prime factorization of 25488 and 25500. After we will calculate the factors of 25488 and 25500 and find the biggest common factor number .

Step-1: Prime Factorization of 25488

Prime factors of 25488 are 2, 3, 59. Prime factorization of 25488 in exponential form is:

25488 = 2⁴ × 3³ × 59¹

Step-2: Prime Factorization of 25500

Prime factors of 25500 are 2, 3, 5, 17. Prime factorization of 25500 in exponential form is:

25500 = 2² × 3¹ × 5³ × 17¹

Step-3: Factors of 25488

List of positive integer factors of 25488 that divides 25488 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 59, 72, 108, 118, 144, 177, 216, 236, 354, 432, 472, 531, 708, 944, 1062, 1416, 1593, 2124, 2832, 3186, 4248, 6372, 8496, 12744

Step-4: Factors of 25500

List of positive integer factors of 25500 that divides 25488 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 17, 20, 25, 30, 34, 50, 51, 60, 68, 75, 85, 100, 102, 125, 150, 170, 204, 250, 255, 300, 340, 375, 425, 500, 510, 750, 850, 1020, 1275, 1500, 1700, 2125, 2550, 4250, 5100, 6375, 8500, 12750

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25488 and 25500. The biggest common factor number is the GCF number.
So the greatest common factor 25488 and 25500 is 12.

Also check out the Least Common Multiple of 25488 and 25500