What is the Greatest Common Factor of 15800 and 15805?

Greatest common factor (GCF) of 15800 and 15805 is 5.

GCF(15800,15805) = 5

We will now calculate the prime factors of 15800 and 15805, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15800 and 15805.

How to find the GCF of 15800 and 15805?

We will first find the prime factorization of 15800 and 15805. After we will calculate the factors of 15800 and 15805 and find the biggest common factor number .

Step-1: Prime Factorization of 15800

Prime factors of 15800 are 2, 5, 79. Prime factorization of 15800 in exponential form is:

15800 = 2³ × 5² × 79¹

Step-2: 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-3: Factors of 15800

List of positive integer factors of 15800 that divides 15800 without a remainder.

1, 2, 4, 5, 8, 10, 20, 25, 40, 50, 79, 100, 158, 200, 316, 395, 632, 790, 1580, 1975, 3160, 3950, 7900

Step-4: Factors of 15805

List of positive integer factors of 15805 that divides 15800 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15800 and 15805. The biggest common factor number is the GCF number.
So the greatest common factor 15800 and 15805 is 5.

Also check out the Least Common Multiple of 15800 and 15805