What is the Greatest Common Factor of 15987 and 15999?

Greatest common factor (GCF) of 15987 and 15999 is 3.

GCF(15987,15999) = 3

We will now calculate the prime factors of 15987 and 15999, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15987 and 15999.

How to find the GCF of 15987 and 15999?

We will first find the prime factorization of 15987 and 15999. After we will calculate the factors of 15987 and 15999 and find the biggest common factor number .

Step-1: Prime Factorization of 15987

Prime factors of 15987 are 3, 73. Prime factorization of 15987 in exponential form is:

15987 = 3¹ × 73²

Step-2: Prime Factorization of 15999

Prime factors of 15999 are 3, 5333. Prime factorization of 15999 in exponential form is:

15999 = 3¹ × 5333¹

Step-3: Factors of 15987

List of positive integer factors of 15987 that divides 15987 without a remainder.

1, 3, 73, 219, 5329

Step-4: Factors of 15999

List of positive integer factors of 15999 that divides 15987 without a remainder.

1, 3, 5333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15987 and 15999. The biggest common factor number is the GCF number.
So the greatest common factor 15987 and 15999 is 3.

Also check out the Least Common Multiple of 15987 and 15999