What is the Greatest Common Factor of 23925 and 23936?

Greatest common factor (GCF) of 23925 and 23936 is 11.

GCF(23925,23936) = 11

We will now calculate the prime factors of 23925 and 23936, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 23925 and 23936.

How to find the GCF of 23925 and 23936?

We will first find the prime factorization of 23925 and 23936. After we will calculate the factors of 23925 and 23936 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 23936

Prime factors of 23936 are 2, 11, 17. Prime factorization of 23936 in exponential form is:

23936 = 2⁷ × 11¹ × 17¹

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 23936

List of positive integer factors of 23936 that divides 23925 without a remainder.

1, 2, 4, 8, 11, 16, 17, 22, 32, 34, 44, 64, 68, 88, 128, 136, 176, 187, 272, 352, 374, 544, 704, 748, 1088, 1408, 1496, 2176, 2992, 5984, 11968

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 23925 and 23936. The biggest common factor number is the GCF number.
So the greatest common factor 23925 and 23936 is 11.

Also check out the Least Common Multiple of 23925 and 23936