What is the Greatest Common Factor of 15825 and 15830?

Greatest common factor (GCF) of 15825 and 15830 is 5.

GCF(15825,15830) = 5

We will now calculate the prime factors of 15825 and 15830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15825 and 15830.

How to find the GCF of 15825 and 15830?

We will first find the prime factorization of 15825 and 15830. After we will calculate the factors of 15825 and 15830 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15830

Prime factors of 15830 are 2, 5, 1583. Prime factorization of 15830 in exponential form is:

15830 = 2¹ × 5¹ × 1583¹

Step-3: Factors of 15825

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

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

Step-4: Factors of 15830

List of positive integer factors of 15830 that divides 15825 without a remainder.

1, 2, 5, 10, 1583, 3166, 7915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15825 and 15830. The biggest common factor number is the GCF number.
So the greatest common factor 15825 and 15830 is 5.

Also check out the Least Common Multiple of 15825 and 15830