What is the Greatest Common Factor of 16014 and 16033?

Greatest common factor (GCF) of 16014 and 16033 is 1.

GCF(16014,16033) = 1

We will now calculate the prime factors of 16014 and 16033, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16014 and 16033.

How to find the GCF of 16014 and 16033?

We will first find the prime factorization of 16014 and 16033. After we will calculate the factors of 16014 and 16033 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 16033

Prime factors of 16033 are 16033. Prime factorization of 16033 in exponential form is:

16033 = 16033¹

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 16033

List of positive integer factors of 16033 that divides 16014 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16014 and 16033. The biggest common factor number is the GCF number.
So the greatest common factor 16014 and 16033 is 1.

Also check out the Least Common Multiple of 16014 and 16033