What is the Greatest Common Factor of 15984 and 15989?

Greatest common factor (GCF) of 15984 and 15989 is 1.

GCF(15984,15989) = 1

We will now calculate the prime factors of 15984 and 15989, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15984 and 15989.

How to find the GCF of 15984 and 15989?

We will first find the prime factorization of 15984 and 15989. After we will calculate the factors of 15984 and 15989 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 15989

Prime factors of 15989 are 59, 271. Prime factorization of 15989 in exponential form is:

15989 = 59¹ × 271¹

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 15989

List of positive integer factors of 15989 that divides 15984 without a remainder.

1, 59, 271

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15984 and 15989. The biggest common factor number is the GCF number.
So the greatest common factor 15984 and 15989 is 1.

Also check out the Least Common Multiple of 15984 and 15989