What is the Greatest Common Factor of 23854 and 23872?

Greatest common factor (GCF) of 23854 and 23872 is 2.

GCF(23854,23872) = 2

We will now calculate the prime factors of 23854 and 23872, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23854 and 23872.

How to find the GCF of 23854 and 23872?

We will first find the prime factorization of 23854 and 23872. After we will calculate the factors of 23854 and 23872 and find the biggest common factor number .

Step-1: Prime Factorization of 23854

Prime factors of 23854 are 2, 11927. Prime factorization of 23854 in exponential form is:

23854 = 2¹ × 11927¹

Step-2: Prime Factorization of 23872

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

23872 = 2⁶ × 373¹

Step-3: Factors of 23854

List of positive integer factors of 23854 that divides 23854 without a remainder.

1, 2, 11927

Step-4: Factors of 23872

List of positive integer factors of 23872 that divides 23854 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23854 and 23872. The biggest common factor number is the GCF number.
So the greatest common factor 23854 and 23872 is 2.

Also check out the Least Common Multiple of 23854 and 23872