What is the Greatest Common Factor of 12014 and 12028?

Greatest common factor (GCF) of 12014 and 12028 is 2.

GCF(12014,12028) = 2

We will now calculate the prime factors of 12014 and 12028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12014 and 12028.

How to find the GCF of 12014 and 12028?

We will first find the prime factorization of 12014 and 12028. After we will calculate the factors of 12014 and 12028 and find the biggest common factor number .

Step-1: Prime Factorization of 12014

Prime factors of 12014 are 2, 6007. Prime factorization of 12014 in exponential form is:

12014 = 2¹ × 6007¹

Step-2: Prime Factorization of 12028

Prime factors of 12028 are 2, 31, 97. Prime factorization of 12028 in exponential form is:

12028 = 2² × 31¹ × 97¹

Step-3: Factors of 12014

List of positive integer factors of 12014 that divides 12014 without a remainder.

1, 2, 6007

Step-4: Factors of 12028

List of positive integer factors of 12028 that divides 12014 without a remainder.

1, 2, 4, 31, 62, 97, 124, 194, 388, 3007, 6014

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12014 and 12028. The biggest common factor number is the GCF number.
So the greatest common factor 12014 and 12028 is 2.

Also check out the Least Common Multiple of 12014 and 12028