What is the Greatest Common Factor of 15984 and 15992?

Greatest common factor (GCF) of 15984 and 15992 is 8.

GCF(15984,15992) = 8

We will now calculate the prime factors of 15984 and 15992, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15984 and 15992.

How to find the GCF of 15984 and 15992?

We will first find the prime factorization of 15984 and 15992. After we will calculate the factors of 15984 and 15992 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 15992

Prime factors of 15992 are 2, 1999. Prime factorization of 15992 in exponential form is:

15992 = 2³ × 1999¹

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 15992

List of positive integer factors of 15992 that divides 15984 without a remainder.

1, 2, 4, 8, 1999, 3998, 7996

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15984 and 15992. The biggest common factor number is the GCF number.
So the greatest common factor 15984 and 15992 is 8.

Also check out the Least Common Multiple of 15984 and 15992