What is the Greatest Common Factor of 23908 and 23920?

Greatest common factor (GCF) of 23908 and 23920 is 4.

GCF(23908,23920) = 4

We will now calculate the prime factors of 23908 and 23920, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23908 and 23920.

How to find the GCF of 23908 and 23920?

We will first find the prime factorization of 23908 and 23920. After we will calculate the factors of 23908 and 23920 and find the biggest common factor number .

Step-1: Prime Factorization of 23908

Prime factors of 23908 are 2, 43, 139. Prime factorization of 23908 in exponential form is:

23908 = 2² × 43¹ × 139¹

Step-2: Prime Factorization of 23920

Prime factors of 23920 are 2, 5, 13, 23. Prime factorization of 23920 in exponential form is:

23920 = 2⁴ × 5¹ × 13¹ × 23¹

Step-3: Factors of 23908

List of positive integer factors of 23908 that divides 23908 without a remainder.

1, 2, 4, 43, 86, 139, 172, 278, 556, 5977, 11954

Step-4: Factors of 23920

List of positive integer factors of 23920 that divides 23908 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 23, 26, 40, 46, 52, 65, 80, 92, 104, 115, 130, 184, 208, 230, 260, 299, 368, 460, 520, 598, 920, 1040, 1196, 1495, 1840, 2392, 2990, 4784, 5980, 11960

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23908 and 23920. The biggest common factor number is the GCF number.
So the greatest common factor 23908 and 23920 is 4.

Also check out the Least Common Multiple of 23908 and 23920