What is the Greatest Common Factor of 23896 and 23908?

Greatest common factor (GCF) of 23896 and 23908 is 4.

GCF(23896,23908) = 4

We will now calculate the prime factors of 23896 and 23908, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23896 and 23908.

How to find the GCF of 23896 and 23908?

We will first find the prime factorization of 23896 and 23908. After we will calculate the factors of 23896 and 23908 and find the biggest common factor number .

Step-1: Prime Factorization of 23896

Prime factors of 23896 are 2, 29, 103. Prime factorization of 23896 in exponential form is:

23896 = 2³ × 29¹ × 103¹

Step-2: Prime Factorization of 23908

Prime factors of 23908 are 2, 43, 139. Prime factorization of 23908 in exponential form is:

23908 = 2² × 43¹ × 139¹

Step-3: Factors of 23896

List of positive integer factors of 23896 that divides 23896 without a remainder.

1, 2, 4, 8, 29, 58, 103, 116, 206, 232, 412, 824, 2987, 5974, 11948

Step-4: Factors of 23908

List of positive integer factors of 23908 that divides 23896 without a remainder.

1, 2, 4, 43, 86, 139, 172, 278, 556, 5977, 11954

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23896 and 23908. The biggest common factor number is the GCF number.
So the greatest common factor 23896 and 23908 is 4.

Also check out the Least Common Multiple of 23896 and 23908