What is the Greatest Common Factor of 15993 and 16008?

Greatest common factor (GCF) of 15993 and 16008 is 3.

GCF(15993,16008) = 3

We will now calculate the prime factors of 15993 and 16008, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15993 and 16008.

How to find the GCF of 15993 and 16008?

We will first find the prime factorization of 15993 and 16008. After we will calculate the factors of 15993 and 16008 and find the biggest common factor number .

Step-1: Prime Factorization of 15993

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

15993 = 3² × 1777¹

Step-2: Prime Factorization of 16008

Prime factors of 16008 are 2, 3, 23, 29. Prime factorization of 16008 in exponential form is:

16008 = 2³ × 3¹ × 23¹ × 29¹

Step-3: Factors of 15993

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

1, 3, 9, 1777, 5331

Step-4: Factors of 16008

List of positive integer factors of 16008 that divides 15993 without a remainder.

1, 2, 3, 4, 6, 8, 12, 23, 24, 29, 46, 58, 69, 87, 92, 116, 138, 174, 184, 232, 276, 348, 552, 667, 696, 1334, 2001, 2668, 4002, 5336, 8004

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15993 and 16008. The biggest common factor number is the GCF number.
So the greatest common factor 15993 and 16008 is 3.

Also check out the Least Common Multiple of 15993 and 16008