What is the Greatest Common Factor of 24928 and 24946?

Greatest common factor (GCF) of 24928 and 24946 is 2.

GCF(24928,24946) = 2

We will now calculate the prime factors of 24928 and 24946, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24928 and 24946.

How to find the GCF of 24928 and 24946?

We will first find the prime factorization of 24928 and 24946. After we will calculate the factors of 24928 and 24946 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 24946

Prime factors of 24946 are 2, 12473. Prime factorization of 24946 in exponential form is:

24946 = 2¹ × 12473¹

Step-3: Factors of 24928

List of positive integer factors of 24928 that divides 24928 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

Step-4: Factors of 24946

List of positive integer factors of 24946 that divides 24928 without a remainder.

1, 2, 12473

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24928 and 24946. The biggest common factor number is the GCF number.
So the greatest common factor 24928 and 24946 is 2.

Also check out the Least Common Multiple of 24928 and 24946