What is the Greatest Common Factor of 23934 and 23949?

Greatest common factor (GCF) of 23934 and 23949 is 3.

GCF(23934,23949) = 3

We will now calculate the prime factors of 23934 and 23949, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23934 and 23949.

How to find the GCF of 23934 and 23949?

We will first find the prime factorization of 23934 and 23949. After we will calculate the factors of 23934 and 23949 and find the biggest common factor number .

Step-1: Prime Factorization of 23934

Prime factors of 23934 are 2, 3, 3989. Prime factorization of 23934 in exponential form is:

23934 = 2¹ × 3¹ × 3989¹

Step-2: Prime Factorization of 23949

Prime factors of 23949 are 3, 887. Prime factorization of 23949 in exponential form is:

23949 = 3³ × 887¹

Step-3: Factors of 23934

List of positive integer factors of 23934 that divides 23934 without a remainder.

1, 2, 3, 6, 3989, 7978, 11967

Step-4: Factors of 23949

List of positive integer factors of 23949 that divides 23934 without a remainder.

1, 3, 9, 27, 887, 2661, 7983

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23934 and 23949. The biggest common factor number is the GCF number.
So the greatest common factor 23934 and 23949 is 3.

Also check out the Least Common Multiple of 23934 and 23949