What is the Greatest Common Factor of 15830 and 15836?

Greatest common factor (GCF) of 15830 and 15836 is 2.

GCF(15830,15836) = 2

We will now calculate the prime factors of 15830 and 15836, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15830 and 15836.

How to find the GCF of 15830 and 15836?

We will first find the prime factorization of 15830 and 15836. After we will calculate the factors of 15830 and 15836 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 15836

Prime factors of 15836 are 2, 37, 107. Prime factorization of 15836 in exponential form is:

15836 = 2² × 37¹ × 107¹

Step-3: Factors of 15830

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

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

Step-4: Factors of 15836

List of positive integer factors of 15836 that divides 15830 without a remainder.

1, 2, 4, 37, 74, 107, 148, 214, 428, 3959, 7918

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15830 and 15836. The biggest common factor number is the GCF number.
So the greatest common factor 15830 and 15836 is 2.

Also check out the Least Common Multiple of 15830 and 15836