What is the Greatest Common Factor of 24928 and 24944?

Greatest common factor (GCF) of 24928 and 24944 is 16.

GCF(24928,24944) = 16

We will now calculate the prime factors of 24928 and 24944, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 24928 and 24944.

How to find the GCF of 24928 and 24944?

We will first find the prime factorization of 24928 and 24944. After we will calculate the factors of 24928 and 24944 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 24944

Prime factors of 24944 are 2, 1559. Prime factorization of 24944 in exponential form is:

24944 = 2⁴ × 1559¹

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 24944

List of positive integer factors of 24944 that divides 24928 without a remainder.

1, 2, 4, 8, 16, 1559, 3118, 6236, 12472

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 24928 and 24944. The biggest common factor number is the GCF number.
So the greatest common factor 24928 and 24944 is 16.

Also check out the Least Common Multiple of 24928 and 24944