What is the Greatest Common Factor of 48914 and 48928?

Greatest common factor (GCF) of 48914 and 48928 is 2.

GCF(48914,48928) = 2

We will now calculate the prime factors of 48914 and 48928, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48914 and 48928.

How to find the GCF of 48914 and 48928?

We will first find the prime factorization of 48914 and 48928. After we will calculate the factors of 48914 and 48928 and find the biggest common factor number .

Step-1: Prime Factorization of 48914

Prime factors of 48914 are 2, 37, 661. Prime factorization of 48914 in exponential form is:

48914 = 2¹ × 37¹ × 661¹

Step-2: 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-3: Factors of 48914

List of positive integer factors of 48914 that divides 48914 without a remainder.

1, 2, 37, 74, 661, 1322, 24457

Step-4: Factors of 48928

List of positive integer factors of 48928 that divides 48914 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48914 and 48928. The biggest common factor number is the GCF number.
So the greatest common factor 48914 and 48928 is 2.

Also check out the Least Common Multiple of 48914 and 48928