What is the Greatest Common Factor of 23996 and 24014?

Greatest common factor (GCF) of 23996 and 24014 is 2.

GCF(23996,24014) = 2

We will now calculate the prime factors of 23996 and 24014, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23996 and 24014.

How to find the GCF of 23996 and 24014?

We will first find the prime factorization of 23996 and 24014. After we will calculate the factors of 23996 and 24014 and find the biggest common factor number .

Step-1: Prime Factorization of 23996

Prime factors of 23996 are 2, 7, 857. Prime factorization of 23996 in exponential form is:

23996 = 2² × 7¹ × 857¹

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 23996

List of positive integer factors of 23996 that divides 23996 without a remainder.

1, 2, 4, 7, 14, 28, 857, 1714, 3428, 5999, 11998

Step-4: Factors of 24014

List of positive integer factors of 24014 that divides 23996 without a remainder.

1, 2, 12007

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23996 and 24014. The biggest common factor number is the GCF number.
So the greatest common factor 23996 and 24014 is 2.

Also check out the Least Common Multiple of 23996 and 24014