What is the Greatest Common Factor of 25800 and 25805?

Greatest common factor (GCF) of 25800 and 25805 is 5.

GCF(25800,25805) = 5

We will now calculate the prime factors of 25800 and 25805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25800 and 25805.

How to find the GCF of 25800 and 25805?

We will first find the prime factorization of 25800 and 25805. After we will calculate the factors of 25800 and 25805 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25805

Prime factors of 25805 are 5, 13, 397. Prime factorization of 25805 in exponential form is:

25805 = 5¹ × 13¹ × 397¹

Step-3: Factors of 25800

List of positive integer factors of 25800 that divides 25800 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

Step-4: Factors of 25805

List of positive integer factors of 25805 that divides 25800 without a remainder.

1, 5, 13, 65, 397, 1985, 5161

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25800 and 25805. The biggest common factor number is the GCF number.
So the greatest common factor 25800 and 25805 is 5.

Also check out the Least Common Multiple of 25800 and 25805