What is the Greatest Common Factor of 23928 and 23935?

Greatest common factor (GCF) of 23928 and 23935 is 1.

GCF(23928,23935) = 1

We will now calculate the prime factors of 23928 and 23935, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23928 and 23935.

How to find the GCF of 23928 and 23935?

We will first find the prime factorization of 23928 and 23935. After we will calculate the factors of 23928 and 23935 and find the biggest common factor number .

Step-1: Prime Factorization of 23928

Prime factors of 23928 are 2, 3, 997. Prime factorization of 23928 in exponential form is:

23928 = 2³ × 3¹ × 997¹

Step-2: Prime Factorization of 23935

Prime factors of 23935 are 5, 4787. Prime factorization of 23935 in exponential form is:

23935 = 5¹ × 4787¹

Step-3: Factors of 23928

List of positive integer factors of 23928 that divides 23928 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 997, 1994, 2991, 3988, 5982, 7976, 11964

Step-4: Factors of 23935

List of positive integer factors of 23935 that divides 23928 without a remainder.

1, 5, 4787

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23928 and 23935. The biggest common factor number is the GCF number.
So the greatest common factor 23928 and 23935 is 1.

Also check out the Least Common Multiple of 23928 and 23935