What is the Greatest Common Factor of 25905 and 25910?

Greatest common factor (GCF) of 25905 and 25910 is 5.

GCF(25905,25910) = 5

We will now calculate the prime factors of 25905 and 25910, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25905 and 25910.

How to find the GCF of 25905 and 25910?

We will first find the prime factorization of 25905 and 25910. After we will calculate the factors of 25905 and 25910 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 25910

Prime factors of 25910 are 2, 5, 2591. Prime factorization of 25910 in exponential form is:

25910 = 2¹ × 5¹ × 2591¹

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 25910

List of positive integer factors of 25910 that divides 25905 without a remainder.

1, 2, 5, 10, 2591, 5182, 12955

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25905 and 25910. The biggest common factor number is the GCF number.
So the greatest common factor 25905 and 25910 is 5.

Also check out the Least Common Multiple of 25905 and 25910