What is the Greatest Common Factor of 23944 and 23960?

Greatest common factor (GCF) of 23944 and 23960 is 8.

GCF(23944,23960) = 8

We will now calculate the prime factors of 23944 and 23960, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23944 and 23960.

How to find the GCF of 23944 and 23960?

We will first find the prime factorization of 23944 and 23960. After we will calculate the factors of 23944 and 23960 and find the biggest common factor number .

Step-1: Prime Factorization of 23944

Prime factors of 23944 are 2, 41, 73. Prime factorization of 23944 in exponential form is:

23944 = 2³ × 41¹ × 73¹

Step-2: Prime Factorization of 23960

Prime factors of 23960 are 2, 5, 599. Prime factorization of 23960 in exponential form is:

23960 = 2³ × 5¹ × 599¹

Step-3: Factors of 23944

List of positive integer factors of 23944 that divides 23944 without a remainder.

1, 2, 4, 8, 41, 73, 82, 146, 164, 292, 328, 584, 2993, 5986, 11972

Step-4: Factors of 23960

List of positive integer factors of 23960 that divides 23944 without a remainder.

1, 2, 4, 5, 8, 10, 20, 40, 599, 1198, 2396, 2995, 4792, 5990, 11980

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23944 and 23960. The biggest common factor number is the GCF number.
So the greatest common factor 23944 and 23960 is 8.

Also check out the Least Common Multiple of 23944 and 23960