What is the Greatest Common Factor of 12009 and 12028?

Greatest common factor (GCF) of 12009 and 12028 is 1.

GCF(12009,12028) = 1

We will now calculate the prime factors of 12009 and 12028, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12009 and 12028.

How to find the GCF of 12009 and 12028?

We will first find the prime factorization of 12009 and 12028. After we will calculate the factors of 12009 and 12028 and find the biggest common factor number .

Step-1: Prime Factorization of 12009

Prime factors of 12009 are 3, 4003. Prime factorization of 12009 in exponential form is:

12009 = 3¹ × 4003¹

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 12009

List of positive integer factors of 12009 that divides 12009 without a remainder.

1, 3, 4003

Step-4: Factors of 12028

List of positive integer factors of 12028 that divides 12009 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 12009 and 12028. The biggest common factor number is the GCF number.
So the greatest common factor 12009 and 12028 is 1.

Also check out the Least Common Multiple of 12009 and 12028