What is the Greatest Common Factor of 23925 and 23945?

Greatest common factor (GCF) of 23925 and 23945 is 5.

GCF(23925,23945) = 5

We will now calculate the prime factors of 23925 and 23945, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23925 and 23945.

How to find the GCF of 23925 and 23945?

We will first find the prime factorization of 23925 and 23945. After we will calculate the factors of 23925 and 23945 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 23945

Prime factors of 23945 are 5, 4789. Prime factorization of 23945 in exponential form is:

23945 = 5¹ × 4789¹

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 23945

List of positive integer factors of 23945 that divides 23925 without a remainder.

1, 5, 4789

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23925 and 23945. The biggest common factor number is the GCF number.
So the greatest common factor 23925 and 23945 is 5.

Also check out the Least Common Multiple of 23925 and 23945