What is the Greatest Common Factor of 23920 and 23934?

Greatest common factor (GCF) of 23920 and 23934 is 2.

GCF(23920,23934) = 2

We will now calculate the prime factors of 23920 and 23934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23920 and 23934.

How to find the GCF of 23920 and 23934?

We will first find the prime factorization of 23920 and 23934. After we will calculate the factors of 23920 and 23934 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23934

Prime factors of 23934 are 2, 3, 3989. Prime factorization of 23934 in exponential form is:

23934 = 2¹ × 3¹ × 3989¹

Step-3: Factors of 23920

List of positive integer factors of 23920 that divides 23920 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

Step-4: Factors of 23934

List of positive integer factors of 23934 that divides 23920 without a remainder.

1, 2, 3, 6, 3989, 7978, 11967

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23920 and 23934. The biggest common factor number is the GCF number.
So the greatest common factor 23920 and 23934 is 2.

Also check out the Least Common Multiple of 23920 and 23934