What is the Greatest Common Factor of 23925 and 23943?

Greatest common factor (GCF) of 23925 and 23943 is 3.

GCF(23925,23943) = 3

We will now calculate the prime factors of 23925 and 23943, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23925 and 23943.

How to find the GCF of 23925 and 23943?

We will first find the prime factorization of 23925 and 23943. After we will calculate the factors of 23925 and 23943 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 23943

Prime factors of 23943 are 3, 23, 347. Prime factorization of 23943 in exponential form is:

23943 = 3¹ × 23¹ × 347¹

Step-3: Factors of 23925

List of positive integer factors of 23925 that divides 23925 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

Step-4: Factors of 23943

List of positive integer factors of 23943 that divides 23925 without a remainder.

1, 3, 23, 69, 347, 1041, 7981

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23925 and 23943. The biggest common factor number is the GCF number.
So the greatest common factor 23925 and 23943 is 3.

Also check out the Least Common Multiple of 23925 and 23943