What is the Greatest Common Factor of 15997 and 16003?

Greatest common factor (GCF) of 15997 and 16003 is 1.

GCF(15997,16003) = 1

We will now calculate the prime factors of 15997 and 16003, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15997 and 16003.

How to find the GCF of 15997 and 16003?

We will first find the prime factorization of 15997 and 16003. After we will calculate the factors of 15997 and 16003 and find the biggest common factor number .

Step-1: Prime Factorization of 15997

Prime factors of 15997 are 17, 941. Prime factorization of 15997 in exponential form is:

15997 = 17¹ × 941¹

Step-2: Prime Factorization of 16003

Prime factors of 16003 are 13, 1231. Prime factorization of 16003 in exponential form is:

16003 = 13¹ × 1231¹

Step-3: Factors of 15997

List of positive integer factors of 15997 that divides 15997 without a remainder.

1, 17, 941

Step-4: Factors of 16003

List of positive integer factors of 16003 that divides 15997 without a remainder.

1, 13, 1231

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15997 and 16003. The biggest common factor number is the GCF number.
So the greatest common factor 15997 and 16003 is 1.

Also check out the Least Common Multiple of 15997 and 16003