What is the Greatest Common Factor of 25788 and 25800?

Greatest common factor (GCF) of 25788 and 25800 is 12.

GCF(25788,25800) = 12

We will now calculate the prime factors of 25788 and 25800, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25788 and 25800.

How to find the GCF of 25788 and 25800?

We will first find the prime factorization of 25788 and 25800. After we will calculate the factors of 25788 and 25800 and find the biggest common factor number .

Step-1: Prime Factorization of 25788

Prime factors of 25788 are 2, 3, 7, 307. Prime factorization of 25788 in exponential form is:

25788 = 2² × 3¹ × 7¹ × 307¹

Step-2: Prime Factorization of 25800

Prime factors of 25800 are 2, 3, 5, 43. Prime factorization of 25800 in exponential form is:

25800 = 2³ × 3¹ × 5² × 43¹

Step-3: Factors of 25788

List of positive integer factors of 25788 that divides 25788 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 307, 614, 921, 1228, 1842, 2149, 3684, 4298, 6447, 8596, 12894

Step-4: Factors of 25800

List of positive integer factors of 25800 that divides 25788 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 25, 30, 40, 43, 50, 60, 75, 86, 100, 120, 129, 150, 172, 200, 215, 258, 300, 344, 430, 516, 600, 645, 860, 1032, 1075, 1290, 1720, 2150, 2580, 3225, 4300, 5160, 6450, 8600, 12900

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25788 and 25800. The biggest common factor number is the GCF number.
So the greatest common factor 25788 and 25800 is 12.

Also check out the Least Common Multiple of 25788 and 25800