What is the Greatest Common Factor of 12008 and 12027?

Greatest common factor (GCF) of 12008 and 12027 is 19.

GCF(12008,12027) = 19

We will now calculate the prime factors of 12008 and 12027, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 12008 and 12027.

How to find the GCF of 12008 and 12027?

We will first find the prime factorization of 12008 and 12027. After we will calculate the factors of 12008 and 12027 and find the biggest common factor number .

Step-1: Prime Factorization of 12008

Prime factors of 12008 are 2, 19, 79. Prime factorization of 12008 in exponential form is:

12008 = 2³ × 19¹ × 79¹

Step-2: Prime Factorization of 12027

Prime factors of 12027 are 3, 19, 211. Prime factorization of 12027 in exponential form is:

12027 = 3¹ × 19¹ × 211¹

Step-3: Factors of 12008

List of positive integer factors of 12008 that divides 12008 without a remainder.

1, 2, 4, 8, 19, 38, 76, 79, 152, 158, 316, 632, 1501, 3002, 6004

Step-4: Factors of 12027

List of positive integer factors of 12027 that divides 12008 without a remainder.

1, 3, 19, 57, 211, 633, 4009

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 12008 and 12027. The biggest common factor number is the GCF number.
So the greatest common factor 12008 and 12027 is 19.

Also check out the Least Common Multiple of 12008 and 12027