What is the Greatest Common Factor of 23910 and 23928?

Greatest common factor (GCF) of 23910 and 23928 is 6.

GCF(23910,23928) = 6

We will now calculate the prime factors of 23910 and 23928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23910 and 23928.

How to find the GCF of 23910 and 23928?

We will first find the prime factorization of 23910 and 23928. After we will calculate the factors of 23910 and 23928 and find the biggest common factor number .

Step-1: Prime Factorization of 23910

Prime factors of 23910 are 2, 3, 5, 797. Prime factorization of 23910 in exponential form is:

23910 = 2¹ × 3¹ × 5¹ × 797¹

Step-2: 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-3: Factors of 23910

List of positive integer factors of 23910 that divides 23910 without a remainder.

1, 2, 3, 5, 6, 10, 15, 30, 797, 1594, 2391, 3985, 4782, 7970, 11955

Step-4: Factors of 23928

List of positive integer factors of 23928 that divides 23910 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23910 and 23928. The biggest common factor number is the GCF number.
So the greatest common factor 23910 and 23928 is 6.

Also check out the Least Common Multiple of 23910 and 23928