What is the Greatest Common Factor of 23949 and 23964?

Greatest common factor (GCF) of 23949 and 23964 is 3.

GCF(23949,23964) = 3

We will now calculate the prime factors of 23949 and 23964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23949 and 23964.

How to find the GCF of 23949 and 23964?

We will first find the prime factorization of 23949 and 23964. After we will calculate the factors of 23949 and 23964 and find the biggest common factor number .

Step-1: Prime Factorization of 23949

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

23949 = 3³ × 887¹

Step-2: Prime Factorization of 23964

Prime factors of 23964 are 2, 3, 1997. Prime factorization of 23964 in exponential form is:

23964 = 2² × 3¹ × 1997¹

Step-3: Factors of 23949

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

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

Step-4: Factors of 23964

List of positive integer factors of 23964 that divides 23949 without a remainder.

1, 2, 3, 4, 6, 12, 1997, 3994, 5991, 7988, 11982

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23949 and 23964. The biggest common factor number is the GCF number.
So the greatest common factor 23949 and 23964 is 3.

Also check out the Least Common Multiple of 23949 and 23964