What is the Greatest Common Factor of 15984 and 15993?

Greatest common factor (GCF) of 15984 and 15993 is 9.

GCF(15984,15993) = 9

We will now calculate the prime factors of 15984 and 15993, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15984 and 15993.

How to find the GCF of 15984 and 15993?

We will first find the prime factorization of 15984 and 15993. After we will calculate the factors of 15984 and 15993 and find the biggest common factor number .

Step-1: Prime Factorization of 15984

Prime factors of 15984 are 2, 3, 37. Prime factorization of 15984 in exponential form is:

15984 = 2⁴ × 3³ × 37¹

Step-2: Prime Factorization of 15993

Prime factors of 15993 are 3, 1777. Prime factorization of 15993 in exponential form is:

15993 = 3² × 1777¹

Step-3: Factors of 15984

List of positive integer factors of 15984 that divides 15984 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 37, 48, 54, 72, 74, 108, 111, 144, 148, 216, 222, 296, 333, 432, 444, 592, 666, 888, 999, 1332, 1776, 1998, 2664, 3996, 5328, 7992

Step-4: Factors of 15993

List of positive integer factors of 15993 that divides 15984 without a remainder.

1, 3, 9, 1777, 5331

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15984 and 15993. The biggest common factor number is the GCF number.
So the greatest common factor 15984 and 15993 is 9.

Also check out the Least Common Multiple of 15984 and 15993