What is the Greatest Common Factor of 23925 and 23933?

Greatest common factor (GCF) of 23925 and 23933 is 1.

GCF(23925,23933) = 1

We will now calculate the prime factors of 23925 and 23933, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23925 and 23933.

How to find the GCF of 23925 and 23933?

We will first find the prime factorization of 23925 and 23933. After we will calculate the factors of 23925 and 23933 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 23933

Prime factors of 23933 are 7, 13, 263. Prime factorization of 23933 in exponential form is:

23933 = 7¹ × 13¹ × 263¹

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 23933

List of positive integer factors of 23933 that divides 23925 without a remainder.

1, 7, 13, 91, 263, 1841, 3419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23925 and 23933. The biggest common factor number is the GCF number.
So the greatest common factor 23925 and 23933 is 1.

Also check out the Least Common Multiple of 23925 and 23933