What is the Greatest Common Factor of 15997 and 16009?

Greatest common factor (GCF) of 15997 and 16009 is 1.

GCF(15997,16009) = 1

We will now calculate the prime factors of 15997 and 16009, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15997 and 16009.

How to find the GCF of 15997 and 16009?

We will first find the prime factorization of 15997 and 16009. After we will calculate the factors of 15997 and 16009 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 16009

Prime factors of 16009 are 7, 2287. Prime factorization of 16009 in exponential form is:

16009 = 7¹ × 2287¹

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 16009

List of positive integer factors of 16009 that divides 15997 without a remainder.

1, 7, 2287

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15997 and 16009. The biggest common factor number is the GCF number.
So the greatest common factor 15997 and 16009 is 1.

Also check out the Least Common Multiple of 15997 and 16009