What is the Greatest Common Factor of 16014 and 16031?

Greatest common factor (GCF) of 16014 and 16031 is 17.

GCF(16014,16031) = 17

We will now calculate the prime factors of 16014 and 16031, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16014 and 16031.

How to find the GCF of 16014 and 16031?

We will first find the prime factorization of 16014 and 16031. After we will calculate the factors of 16014 and 16031 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16031

Prime factors of 16031 are 17, 23, 41. Prime factorization of 16031 in exponential form is:

16031 = 17¹ × 23¹ × 41¹

Step-3: Factors of 16014

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

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

Step-4: Factors of 16031

List of positive integer factors of 16031 that divides 16014 without a remainder.

1, 17, 23, 41, 391, 697, 943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16014 and 16031. The biggest common factor number is the GCF number.
So the greatest common factor 16014 and 16031 is 17.

Also check out the Least Common Multiple of 16014 and 16031