What is the Greatest Common Factor of 24008 and 24014?

Greatest common factor (GCF) of 24008 and 24014 is 2.

GCF(24008,24014) = 2

We will now calculate the prime factors of 24008 and 24014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24008 and 24014.

How to find the GCF of 24008 and 24014?

We will first find the prime factorization of 24008 and 24014. After we will calculate the factors of 24008 and 24014 and find the biggest common factor number .

Step-1: Prime Factorization of 24008

Prime factors of 24008 are 2, 3001. Prime factorization of 24008 in exponential form is:

24008 = 2³ × 3001¹

Step-2: Prime Factorization of 24014

Prime factors of 24014 are 2, 12007. Prime factorization of 24014 in exponential form is:

24014 = 2¹ × 12007¹

Step-3: Factors of 24008

List of positive integer factors of 24008 that divides 24008 without a remainder.

1, 2, 4, 8, 3001, 6002, 12004

Step-4: Factors of 24014

List of positive integer factors of 24014 that divides 24008 without a remainder.

1, 2, 12007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24008 and 24014. The biggest common factor number is the GCF number.
So the greatest common factor 24008 and 24014 is 2.

Also check out the Least Common Multiple of 24008 and 24014