What is the Greatest Common Factor of 48928 and 48934?

Greatest common factor (GCF) of 48928 and 48934 is 2.

GCF(48928,48934) = 2

We will now calculate the prime factors of 48928 and 48934, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48928 and 48934.

How to find the GCF of 48928 and 48934?

We will first find the prime factorization of 48928 and 48934. After we will calculate the factors of 48928 and 48934 and find the biggest common factor number .

Step-1: Prime Factorization of 48928

Prime factors of 48928 are 2, 11, 139. Prime factorization of 48928 in exponential form is:

48928 = 2⁵ × 11¹ × 139¹

Step-2: Prime Factorization of 48934

Prime factors of 48934 are 2, 43, 569. Prime factorization of 48934 in exponential form is:

48934 = 2¹ × 43¹ × 569¹

Step-3: Factors of 48928

List of positive integer factors of 48928 that divides 48928 without a remainder.

1, 2, 4, 8, 11, 16, 22, 32, 44, 88, 139, 176, 278, 352, 556, 1112, 1529, 2224, 3058, 4448, 6116, 12232, 24464

Step-4: Factors of 48934

List of positive integer factors of 48934 that divides 48928 without a remainder.

1, 2, 43, 86, 569, 1138, 24467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48928 and 48934. The biggest common factor number is the GCF number.
So the greatest common factor 48928 and 48934 is 2.

Also check out the Least Common Multiple of 48928 and 48934