What is the Greatest Common Factor of 25905 and 25925?

Greatest common factor (GCF) of 25905 and 25925 is 5.

GCF(25905,25925) = 5

We will now calculate the prime factors of 25905 and 25925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25905 and 25925.

How to find the GCF of 25905 and 25925?

We will first find the prime factorization of 25905 and 25925. After we will calculate the factors of 25905 and 25925 and find the biggest common factor number .

Step-1: Prime Factorization of 25905

Prime factors of 25905 are 3, 5, 11, 157. Prime factorization of 25905 in exponential form is:

25905 = 3¹ × 5¹ × 11¹ × 157¹

Step-2: Prime Factorization of 25925

Prime factors of 25925 are 5, 17, 61. Prime factorization of 25925 in exponential form is:

25925 = 5² × 17¹ × 61¹

Step-3: Factors of 25905

List of positive integer factors of 25905 that divides 25905 without a remainder.

1, 3, 5, 11, 15, 33, 55, 157, 165, 471, 785, 1727, 2355, 5181, 8635

Step-4: Factors of 25925

List of positive integer factors of 25925 that divides 25905 without a remainder.

1, 5, 17, 25, 61, 85, 305, 425, 1037, 1525, 5185

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25905 and 25925. The biggest common factor number is the GCF number.
So the greatest common factor 25905 and 25925 is 5.

Also check out the Least Common Multiple of 25905 and 25925