What is the Greatest Common Factor of 15997 and 16014?

Greatest common factor (GCF) of 15997 and 16014 is 17.

GCF(15997,16014) = 17

We will now calculate the prime factors of 15997 and 16014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 15997 and 16014.

How to find the GCF of 15997 and 16014?

We will first find the prime factorization of 15997 and 16014. After we will calculate the factors of 15997 and 16014 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 16014

Prime factors of 16014 are 2, 3, 17, 157. Prime factorization of 16014 in exponential form is:

16014 = 2¹ × 3¹ × 17¹ × 157¹

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 16014

List of positive integer factors of 16014 that divides 15997 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 157, 314, 471, 942, 2669, 5338, 8007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 15997 and 16014. The biggest common factor number is the GCF number.
So the greatest common factor 15997 and 16014 is 17.

Also check out the Least Common Multiple of 15997 and 16014