What is the Greatest Common Factor of 15984 and 15998?

Greatest common factor (GCF) of 15984 and 15998 is 2.

GCF(15984,15998) = 2

We will now calculate the prime factors of 15984 and 15998, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15984 and 15998.

How to find the GCF of 15984 and 15998?

We will first find the prime factorization of 15984 and 15998. After we will calculate the factors of 15984 and 15998 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 15998

Prime factors of 15998 are 2, 19, 421. Prime factorization of 15998 in exponential form is:

15998 = 2¹ × 19¹ × 421¹

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 15998

List of positive integer factors of 15998 that divides 15984 without a remainder.

1, 2, 19, 38, 421, 842, 7999

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15984 and 15998. The biggest common factor number is the GCF number.
So the greatest common factor 15984 and 15998 is 2.

Also check out the Least Common Multiple of 15984 and 15998