What is the Greatest Common Factor of 15805 and 15810?

Greatest common factor (GCF) of 15805 and 15810 is 5.

GCF(15805,15810) = 5

We will now calculate the prime factors of 15805 and 15810, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15805 and 15810.

How to find the GCF of 15805 and 15810?

We will first find the prime factorization of 15805 and 15810. After we will calculate the factors of 15805 and 15810 and find the biggest common factor number .

Step-1: Prime Factorization of 15805

Prime factors of 15805 are 5, 29, 109. Prime factorization of 15805 in exponential form is:

15805 = 5¹ × 29¹ × 109¹

Step-2: Prime Factorization of 15810

Prime factors of 15810 are 2, 3, 5, 17, 31. Prime factorization of 15810 in exponential form is:

15810 = 2¹ × 3¹ × 5¹ × 17¹ × 31¹

Step-3: Factors of 15805

List of positive integer factors of 15805 that divides 15805 without a remainder.

1, 5, 29, 109, 145, 545, 3161

Step-4: Factors of 15810

List of positive integer factors of 15810 that divides 15805 without a remainder.

1, 2, 3, 5, 6, 10, 15, 17, 30, 31, 34, 51, 62, 85, 93, 102, 155, 170, 186, 255, 310, 465, 510, 527, 930, 1054, 1581, 2635, 3162, 5270, 7905

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15805 and 15810. The biggest common factor number is the GCF number.
So the greatest common factor 15805 and 15810 is 5.

Also check out the Least Common Multiple of 15805 and 15810