What is the Greatest Common Factor of 16007 and 16027?

Greatest common factor (GCF) of 16007 and 16027 is 1.

GCF(16007,16027) = 1

We will now calculate the prime factors of 16007 and 16027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16007 and 16027.

How to find the GCF of 16007 and 16027?

We will first find the prime factorization of 16007 and 16027. After we will calculate the factors of 16007 and 16027 and find the biggest common factor number .

Step-1: Prime Factorization of 16007

Prime factors of 16007 are 16007. Prime factorization of 16007 in exponential form is:

16007 = 16007¹

Step-2: Prime Factorization of 16027

Prime factors of 16027 are 11, 31, 47. Prime factorization of 16027 in exponential form is:

16027 = 11¹ × 31¹ × 47¹

Step-3: Factors of 16007

List of positive integer factors of 16007 that divides 16007 without a remainder.

Step-4: Factors of 16027

List of positive integer factors of 16027 that divides 16007 without a remainder.

1, 11, 31, 47, 341, 517, 1457

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16007 and 16027. The biggest common factor number is the GCF number.
So the greatest common factor 16007 and 16027 is 1.

Also check out the Least Common Multiple of 16007 and 16027