What is the Greatest Common Factor of 16014 and 16029?

Greatest common factor (GCF) of 16014 and 16029 is 3.

GCF(16014,16029) = 3

We will now calculate the prime factors of 16014 and 16029, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16014 and 16029.

How to find the GCF of 16014 and 16029?

We will first find the prime factorization of 16014 and 16029. After we will calculate the factors of 16014 and 16029 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 16029

Prime factors of 16029 are 3, 13, 137. Prime factorization of 16029 in exponential form is:

16029 = 3² × 13¹ × 137¹

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 16029

List of positive integer factors of 16029 that divides 16014 without a remainder.

1, 3, 9, 13, 39, 117, 137, 411, 1233, 1781, 5343

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16014 and 16029. The biggest common factor number is the GCF number.
So the greatest common factor 16014 and 16029 is 3.

Also check out the Least Common Multiple of 16014 and 16029