What is the Greatest Common Factor of 48928 and 48938?

Greatest common factor (GCF) of 48928 and 48938 is 2.

GCF(48928,48938) = 2

We will now calculate the prime factors of 48928 and 48938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48928 and 48938.

How to find the GCF of 48928 and 48938?

We will first find the prime factorization of 48928 and 48938. After we will calculate the factors of 48928 and 48938 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 48938

Prime factors of 48938 are 2, 24469. Prime factorization of 48938 in exponential form is:

48938 = 2¹ × 24469¹

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 48938

List of positive integer factors of 48938 that divides 48928 without a remainder.

1, 2, 24469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48928 and 48938. The biggest common factor number is the GCF number.
So the greatest common factor 48928 and 48938 is 2.

Also check out the Least Common Multiple of 48928 and 48938