What is the Greatest Common Factor of 15816 and 15825?

Greatest common factor (GCF) of 15816 and 15825 is 3.

GCF(15816,15825) = 3

We will now calculate the prime factors of 15816 and 15825, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15816 and 15825.

How to find the GCF of 15816 and 15825?

We will first find the prime factorization of 15816 and 15825. After we will calculate the factors of 15816 and 15825 and find the biggest common factor number .

Step-1: Prime Factorization of 15816

Prime factors of 15816 are 2, 3, 659. Prime factorization of 15816 in exponential form is:

15816 = 2³ × 3¹ × 659¹

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 15816

List of positive integer factors of 15816 that divides 15816 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 659, 1318, 1977, 2636, 3954, 5272, 7908

Step-4: Factors of 15825

List of positive integer factors of 15825 that divides 15816 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 15816 and 15825. The biggest common factor number is the GCF number.
So the greatest common factor 15816 and 15825 is 3.

Also check out the Least Common Multiple of 15816 and 15825