What is the Greatest Common Factor of 24917 and 24928?

Greatest common factor (GCF) of 24917 and 24928 is 1.

GCF(24917,24928) = 1

We will now calculate the prime factors of 24917 and 24928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24917 and 24928.

How to find the GCF of 24917 and 24928?

We will first find the prime factorization of 24917 and 24928. After we will calculate the factors of 24917 and 24928 and find the biggest common factor number .

Step-1: Prime Factorization of 24917

Prime factors of 24917 are 24917. Prime factorization of 24917 in exponential form is:

24917 = 24917¹

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 24917

List of positive integer factors of 24917 that divides 24917 without a remainder.

Step-4: Factors of 24928

List of positive integer factors of 24928 that divides 24917 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 24917 and 24928. The biggest common factor number is the GCF number.
So the greatest common factor 24917 and 24928 is 1.

Also check out the Least Common Multiple of 24917 and 24928