What is the Greatest Common Factor of 15920 and 15930?

Greatest common factor (GCF) of 15920 and 15930 is 10.

GCF(15920,15930) = 10

We will now calculate the prime factors of 15920 and 15930, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15920 and 15930.

How to find the GCF of 15920 and 15930?

We will first find the prime factorization of 15920 and 15930. After we will calculate the factors of 15920 and 15930 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 15930

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

15930 = 2¹ × 3³ × 5¹ × 59¹

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 15930

List of positive integer factors of 15930 that divides 15920 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15920 and 15930. The biggest common factor number is the GCF number.
So the greatest common factor 15920 and 15930 is 10.

Also check out the Least Common Multiple of 15920 and 15930