What is the Greatest Common Factor of 15930 and 15935?

Greatest common factor (GCF) of 15930 and 15935 is 5.

GCF(15930,15935) = 5

We will now calculate the prime factors of 15930 and 15935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15930 and 15935.

How to find the GCF of 15930 and 15935?

We will first find the prime factorization of 15930 and 15935. After we will calculate the factors of 15930 and 15935 and find the biggest common factor number .

Step-1: Prime Factorization of 15930

Prime factors of 15930 are 2, 3, 5, 59. Prime factorization of 15930 in exponential form is:

15930 = 2¹ × 3³ × 5¹ × 59¹

Step-2: Prime Factorization of 15935

Prime factors of 15935 are 5, 3187. Prime factorization of 15935 in exponential form is:

15935 = 5¹ × 3187¹

Step-3: Factors of 15930

List of positive integer factors of 15930 that divides 15930 without a remainder.

1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 59, 90, 118, 135, 177, 270, 295, 354, 531, 590, 885, 1062, 1593, 1770, 2655, 3186, 5310, 7965

Step-4: Factors of 15935

List of positive integer factors of 15935 that divides 15930 without a remainder.

1, 5, 3187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15930 and 15935. The biggest common factor number is the GCF number.
So the greatest common factor 15930 and 15935 is 5.

Also check out the Least Common Multiple of 15930 and 15935