What is the Greatest Common Factor of 4008 and 4014?

Greatest common factor (GCF) of 4008 and 4014 is 6.

GCF(4008,4014) = 6

We will now calculate the prime factors of 4008 and 4014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 4008 and 4014.

How to find the GCF of 4008 and 4014?

We will first find the prime factorization of 4008 and 4014. After we will calculate the factors of 4008 and 4014 and find the biggest common factor number .

Step-1: Prime Factorization of 4008

Prime factors of 4008 are 2, 3, 167. Prime factorization of 4008 in exponential form is:

4008 = 2³ × 3¹ × 167¹

Step-2: Prime Factorization of 4014

Prime factors of 4014 are 2, 3, 223. Prime factorization of 4014 in exponential form is:

4014 = 2¹ × 3² × 223¹

Step-3: Factors of 4008

List of positive integer factors of 4008 that divides 4008 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 167, 334, 501, 668, 1002, 1336, 2004

Step-4: Factors of 4014

List of positive integer factors of 4014 that divides 4008 without a remainder.

1, 2, 3, 6, 9, 18, 223, 446, 669, 1338, 2007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 4008 and 4014. The biggest common factor number is the GCF number.
So the greatest common factor 4008 and 4014 is 6.

Also check out the Least Common Multiple of 4008 and 4014