What is the Greatest Common Factor of 23872 and 23878?

Greatest common factor (GCF) of 23872 and 23878 is 2.

GCF(23872,23878) = 2

We will now calculate the prime factors of 23872 and 23878, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23872 and 23878.

How to find the GCF of 23872 and 23878?

We will first find the prime factorization of 23872 and 23878. After we will calculate the factors of 23872 and 23878 and find the biggest common factor number .

Step-1: Prime Factorization of 23872

Prime factors of 23872 are 2, 373. Prime factorization of 23872 in exponential form is:

23872 = 2⁶ × 373¹

Step-2: Prime Factorization of 23878

Prime factors of 23878 are 2, 11939. Prime factorization of 23878 in exponential form is:

23878 = 2¹ × 11939¹

Step-3: Factors of 23872

List of positive integer factors of 23872 that divides 23872 without a remainder.

1, 2, 4, 8, 16, 32, 64, 373, 746, 1492, 2984, 5968, 11936

Step-4: Factors of 23878

List of positive integer factors of 23878 that divides 23872 without a remainder.

1, 2, 11939

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23872 and 23878. The biggest common factor number is the GCF number.
So the greatest common factor 23872 and 23878 is 2.

Also check out the Least Common Multiple of 23872 and 23878