What is the Greatest Common Factor of 23948 and 23964?

Greatest common factor (GCF) of 23948 and 23964 is 4.

GCF(23948,23964) = 4

We will now calculate the prime factors of 23948 and 23964, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23948 and 23964.

How to find the GCF of 23948 and 23964?

We will first find the prime factorization of 23948 and 23964. After we will calculate the factors of 23948 and 23964 and find the biggest common factor number .

Step-1: Prime Factorization of 23948

Prime factors of 23948 are 2, 5987. Prime factorization of 23948 in exponential form is:

23948 = 2² × 5987¹

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 23948

List of positive integer factors of 23948 that divides 23948 without a remainder.

1, 2, 4, 5987, 11974

Step-4: Factors of 23964

List of positive integer factors of 23964 that divides 23948 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 23948 and 23964. The biggest common factor number is the GCF number.
So the greatest common factor 23948 and 23964 is 4.

Also check out the Least Common Multiple of 23948 and 23964