What is the Greatest Common Factor of 25805 and 25810?

Greatest common factor (GCF) of 25805 and 25810 is 5.

GCF(25805,25810) = 5

We will now calculate the prime factors of 25805 and 25810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 25805 and 25810.

How to find the GCF of 25805 and 25810?

We will first find the prime factorization of 25805 and 25810. After we will calculate the factors of 25805 and 25810 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 25810

Prime factors of 25810 are 2, 5, 29, 89. Prime factorization of 25810 in exponential form is:

25810 = 2¹ × 5¹ × 29¹ × 89¹

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 25810

List of positive integer factors of 25810 that divides 25805 without a remainder.

1, 2, 5, 10, 29, 58, 89, 145, 178, 290, 445, 890, 2581, 5162, 12905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 25805 and 25810. The biggest common factor number is the GCF number.
So the greatest common factor 25805 and 25810 is 5.

Also check out the Least Common Multiple of 25805 and 25810