What is the Greatest Common Factor of 23008 and 23014?

Greatest common factor (GCF) of 23008 and 23014 is 2.

GCF(23008,23014) = 2

We will now calculate the prime factors of 23008 and 23014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23008 and 23014.

How to find the GCF of 23008 and 23014?

We will first find the prime factorization of 23008 and 23014. After we will calculate the factors of 23008 and 23014 and find the biggest common factor number .

Step-1: Prime Factorization of 23008

Prime factors of 23008 are 2, 719. Prime factorization of 23008 in exponential form is:

23008 = 2⁵ × 719¹

Step-2: Prime Factorization of 23014

Prime factors of 23014 are 2, 37, 311. Prime factorization of 23014 in exponential form is:

23014 = 2¹ × 37¹ × 311¹

Step-3: Factors of 23008

List of positive integer factors of 23008 that divides 23008 without a remainder.

1, 2, 4, 8, 16, 32, 719, 1438, 2876, 5752, 11504

Step-4: Factors of 23014

List of positive integer factors of 23014 that divides 23008 without a remainder.

1, 2, 37, 74, 311, 622, 11507

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23008 and 23014. The biggest common factor number is the GCF number.
So the greatest common factor 23008 and 23014 is 2.

Also check out the Least Common Multiple of 23008 and 23014