What is the Greatest Common Factor of 16014 and 16028?

Greatest common factor (GCF) of 16014 and 16028 is 2.

GCF(16014,16028) = 2

We will now calculate the prime factors of 16014 and 16028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16014 and 16028.

How to find the GCF of 16014 and 16028?

We will first find the prime factorization of 16014 and 16028. After we will calculate the factors of 16014 and 16028 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 16028

Prime factors of 16028 are 2, 4007. Prime factorization of 16028 in exponential form is:

16028 = 2² × 4007¹

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 16028

List of positive integer factors of 16028 that divides 16014 without a remainder.

1, 2, 4, 4007, 8014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16014 and 16028. The biggest common factor number is the GCF number.
So the greatest common factor 16014 and 16028 is 2.

Also check out the Least Common Multiple of 16014 and 16028