What is the Greatest Common Factor of 25500 and 25512?

Greatest common factor (GCF) of 25500 and 25512 is 12.

GCF(25500,25512) = 12

We will now calculate the prime factors of 25500 and 25512, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25500 and 25512.

How to find the GCF of 25500 and 25512?

We will first find the prime factorization of 25500 and 25512. After we will calculate the factors of 25500 and 25512 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25512

Prime factors of 25512 are 2, 3, 1063. Prime factorization of 25512 in exponential form is:

25512 = 2³ × 3¹ × 1063¹

Step-3: Factors of 25500

List of positive integer factors of 25500 that divides 25500 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

Step-4: Factors of 25512

List of positive integer factors of 25512 that divides 25500 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 1063, 2126, 3189, 4252, 6378, 8504, 12756

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25500 and 25512. The biggest common factor number is the GCF number.
So the greatest common factor 25500 and 25512 is 12.

Also check out the Least Common Multiple of 25500 and 25512