What is the Greatest Common Factor of 16019 and 16037?

Greatest common factor (GCF) of 16019 and 16037 is 1.

GCF(16019,16037) = 1

We will now calculate the prime factors of 16019 and 16037, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16019 and 16037.

How to find the GCF of 16019 and 16037?

We will first find the prime factorization of 16019 and 16037. After we will calculate the factors of 16019 and 16037 and find the biggest common factor number .

Step-1: Prime Factorization of 16019

Prime factors of 16019 are 83, 193. Prime factorization of 16019 in exponential form is:

16019 = 83¹ × 193¹

Step-2: Prime Factorization of 16037

Prime factors of 16037 are 7, 29, 79. Prime factorization of 16037 in exponential form is:

16037 = 7¹ × 29¹ × 79¹

Step-3: Factors of 16019

List of positive integer factors of 16019 that divides 16019 without a remainder.

1, 83, 193

Step-4: Factors of 16037

List of positive integer factors of 16037 that divides 16019 without a remainder.

1, 7, 29, 79, 203, 553, 2291

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16019 and 16037. The biggest common factor number is the GCF number.
So the greatest common factor 16019 and 16037 is 1.

Also check out the Least Common Multiple of 16019 and 16037