What is the Greatest Common Factor of 8004 and 8012?

Greatest common factor (GCF) of 8004 and 8012 is 4.

GCF(8004,8012) = 4

We will now calculate the prime factors of 8004 and 8012, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8004 and 8012.

How to find the GCF of 8004 and 8012?

We will first find the prime factorization of 8004 and 8012. After we will calculate the factors of 8004 and 8012 and find the biggest common factor number .

Step-1: Prime Factorization of 8004

Prime factors of 8004 are 2, 3, 23, 29. Prime factorization of 8004 in exponential form is:

8004 = 2² × 3¹ × 23¹ × 29¹

Step-2: Prime Factorization of 8012

Prime factors of 8012 are 2, 2003. Prime factorization of 8012 in exponential form is:

8012 = 2² × 2003¹

Step-3: Factors of 8004

List of positive integer factors of 8004 that divides 8004 without a remainder.

1, 2, 3, 4, 6, 12, 23, 29, 46, 58, 69, 87, 92, 116, 138, 174, 276, 348, 667, 1334, 2001, 2668, 4002

Step-4: Factors of 8012

List of positive integer factors of 8012 that divides 8004 without a remainder.

1, 2, 4, 2003, 4006

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8004 and 8012. The biggest common factor number is the GCF number.
So the greatest common factor 8004 and 8012 is 4.

Also check out the Least Common Multiple of 8004 and 8012