What is the Greatest Common Factor of 15984 and 16001?

Greatest common factor (GCF) of 15984 and 16001 is 1.

GCF(15984,16001) = 1

We will now calculate the prime factors of 15984 and 16001, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15984 and 16001.

How to find the GCF of 15984 and 16001?

We will first find the prime factorization of 15984 and 16001. After we will calculate the factors of 15984 and 16001 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 16001

Prime factors of 16001 are 16001. Prime factorization of 16001 in exponential form is:

16001 = 16001¹

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 16001

List of positive integer factors of 16001 that divides 15984 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15984 and 16001. The biggest common factor number is the GCF number.
So the greatest common factor 15984 and 16001 is 1.

Also check out the Least Common Multiple of 15984 and 16001