What is the Greatest Common Factor of 25805 and 25825?

Greatest common factor (GCF) of 25805 and 25825 is 5.

GCF(25805,25825) = 5

We will now calculate the prime factors of 25805 and 25825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25805 and 25825.

How to find the GCF of 25805 and 25825?

We will first find the prime factorization of 25805 and 25825. After we will calculate the factors of 25805 and 25825 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 25825

Prime factors of 25825 are 5, 1033. Prime factorization of 25825 in exponential form is:

25825 = 5² × 1033¹

Step-3: Factors of 25805

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

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

Step-4: Factors of 25825

List of positive integer factors of 25825 that divides 25805 without a remainder.

1, 5, 25, 1033, 5165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25805 and 25825. The biggest common factor number is the GCF number.
So the greatest common factor 25805 and 25825 is 5.

Also check out the Least Common Multiple of 25805 and 25825