What is the Greatest Common Factor of 15810 and 15825?

Greatest common factor (GCF) of 15810 and 15825 is 15.

GCF(15810,15825) = 15

We will now calculate the prime factors of 15810 and 15825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15810 and 15825.

How to find the GCF of 15810 and 15825?

We will first find the prime factorization of 15810 and 15825. After we will calculate the factors of 15810 and 15825 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15825

Prime factors of 15825 are 3, 5, 211. Prime factorization of 15825 in exponential form is:

15825 = 3¹ × 5² × 211¹

Step-3: Factors of 15810

List of positive integer factors of 15810 that divides 15810 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

Step-4: Factors of 15825

List of positive integer factors of 15825 that divides 15810 without a remainder.

1, 3, 5, 15, 25, 75, 211, 633, 1055, 3165, 5275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15810 and 15825. The biggest common factor number is the GCF number.
So the greatest common factor 15810 and 15825 is 15.

Also check out the Least Common Multiple of 15810 and 15825