What is the Greatest Common Factor of 24909 and 24928?

Greatest common factor (GCF) of 24909 and 24928 is 19.

GCF(24909,24928) = 19

We will now calculate the prime factors of 24909 and 24928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24909 and 24928.

How to find the GCF of 24909 and 24928?

We will first find the prime factorization of 24909 and 24928. After we will calculate the factors of 24909 and 24928 and find the biggest common factor number .

Step-1: Prime Factorization of 24909

Prime factors of 24909 are 3, 19, 23. Prime factorization of 24909 in exponential form is:

24909 = 3¹ × 19² × 23¹

Step-2: Prime Factorization of 24928

Prime factors of 24928 are 2, 19, 41. Prime factorization of 24928 in exponential form is:

24928 = 2⁵ × 19¹ × 41¹

Step-3: Factors of 24909

List of positive integer factors of 24909 that divides 24909 without a remainder.

1, 3, 19, 23, 57, 69, 361, 437, 1083, 1311, 8303

Step-4: Factors of 24928

List of positive integer factors of 24928 that divides 24909 without a remainder.

1, 2, 4, 8, 16, 19, 32, 38, 41, 76, 82, 152, 164, 304, 328, 608, 656, 779, 1312, 1558, 3116, 6232, 12464

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24909 and 24928. The biggest common factor number is the GCF number.
So the greatest common factor 24909 and 24928 is 19.

Also check out the Least Common Multiple of 24909 and 24928