What is the Greatest Common Factor of 15824 and 15830?

Greatest common factor (GCF) of 15824 and 15830 is 2.

GCF(15824,15830) = 2

We will now calculate the prime factors of 15824 and 15830, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15824 and 15830.

How to find the GCF of 15824 and 15830?

We will first find the prime factorization of 15824 and 15830. After we will calculate the factors of 15824 and 15830 and find the biggest common factor number .

Step-1: Prime Factorization of 15824

Prime factors of 15824 are 2, 23, 43. Prime factorization of 15824 in exponential form is:

15824 = 2⁴ × 23¹ × 43¹

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 15824

List of positive integer factors of 15824 that divides 15824 without a remainder.

1, 2, 4, 8, 16, 23, 43, 46, 86, 92, 172, 184, 344, 368, 688, 989, 1978, 3956, 7912

Step-4: Factors of 15830

List of positive integer factors of 15830 that divides 15824 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15824 and 15830. The biggest common factor number is the GCF number.
So the greatest common factor 15824 and 15830 is 2.

Also check out the Least Common Multiple of 15824 and 15830