What is the Greatest Common Factor of 23920 and 23925?

Greatest common factor (GCF) of 23920 and 23925 is 5.

GCF(23920,23925) = 5

We will now calculate the prime factors of 23920 and 23925, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23920 and 23925.

How to find the GCF of 23920 and 23925?

We will first find the prime factorization of 23920 and 23925. After we will calculate the factors of 23920 and 23925 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 23925

Prime factors of 23925 are 3, 5, 11, 29. Prime factorization of 23925 in exponential form is:

23925 = 3¹ × 5² × 11¹ × 29¹

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 23925

List of positive integer factors of 23925 that divides 23920 without a remainder.

1, 3, 5, 11, 15, 25, 29, 33, 55, 75, 87, 145, 165, 275, 319, 435, 725, 825, 957, 1595, 2175, 4785, 7975

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23920 and 23925. The biggest common factor number is the GCF number.
So the greatest common factor 23920 and 23925 is 5.

Also check out the Least Common Multiple of 23920 and 23925