What is the Greatest Common Factor of 15805 and 15824?

Greatest common factor (GCF) of 15805 and 15824 is 1.

GCF(15805,15824) = 1

We will now calculate the prime factors of 15805 and 15824, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15805 and 15824.

How to find the GCF of 15805 and 15824?

We will first find the prime factorization of 15805 and 15824. After we will calculate the factors of 15805 and 15824 and find the biggest common factor number .

Step-1: Prime Factorization of 15805

Prime factors of 15805 are 5, 29, 109. Prime factorization of 15805 in exponential form is:

15805 = 5¹ × 29¹ × 109¹

Step-2: 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-3: Factors of 15805

List of positive integer factors of 15805 that divides 15805 without a remainder.

1, 5, 29, 109, 145, 545, 3161

Step-4: Factors of 15824

List of positive integer factors of 15824 that divides 15805 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15805 and 15824. The biggest common factor number is the GCF number.
So the greatest common factor 15805 and 15824 is 1.

Also check out the Least Common Multiple of 15805 and 15824