What is the Greatest Common Factor of 23964 and 23968?

Greatest common factor (GCF) of 23964 and 23968 is 4.

GCF(23964,23968) = 4

We will now calculate the prime factors of 23964 and 23968, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23964 and 23968.

How to find the GCF of 23964 and 23968?

We will first find the prime factorization of 23964 and 23968. After we will calculate the factors of 23964 and 23968 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23968

Prime factors of 23968 are 2, 7, 107. Prime factorization of 23968 in exponential form is:

23968 = 2⁵ × 7¹ × 107¹

Step-3: Factors of 23964

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

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

Step-4: Factors of 23968

List of positive integer factors of 23968 that divides 23964 without a remainder.

1, 2, 4, 7, 8, 14, 16, 28, 32, 56, 107, 112, 214, 224, 428, 749, 856, 1498, 1712, 2996, 3424, 5992, 11984

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23964 and 23968. The biggest common factor number is the GCF number.
So the greatest common factor 23964 and 23968 is 4.

Also check out the Least Common Multiple of 23964 and 23968