What is the Greatest Common Factor of 15920 and 15935?

Greatest common factor (GCF) of 15920 and 15935 is 5.

GCF(15920,15935) = 5

We will now calculate the prime factors of 15920 and 15935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15920 and 15935.

How to find the GCF of 15920 and 15935?

We will first find the prime factorization of 15920 and 15935. After we will calculate the factors of 15920 and 15935 and find the biggest common factor number .

Step-1: Prime Factorization of 15920

Prime factors of 15920 are 2, 5, 199. Prime factorization of 15920 in exponential form is:

15920 = 2⁴ × 5¹ × 199¹

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 15920

List of positive integer factors of 15920 that divides 15920 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 40, 80, 199, 398, 796, 995, 1592, 1990, 3184, 3980, 7960

Step-4: Factors of 15935

List of positive integer factors of 15935 that divides 15920 without a remainder.

1, 5, 3187

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15920 and 15935. The biggest common factor number is the GCF number.
So the greatest common factor 15920 and 15935 is 5.

Also check out the Least Common Multiple of 15920 and 15935