What is the Greatest Common Factor of 48896 and 48912?

Greatest common factor (GCF) of 48896 and 48912 is 16.

GCF(48896,48912) = 16

We will now calculate the prime factors of 48896 and 48912, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48896 and 48912.

How to find the GCF of 48896 and 48912?

We will first find the prime factorization of 48896 and 48912. After we will calculate the factors of 48896 and 48912 and find the biggest common factor number .

Step-1: Prime Factorization of 48896

Prime factors of 48896 are 2, 191. Prime factorization of 48896 in exponential form is:

48896 = 2⁸ × 191¹

Step-2: Prime Factorization of 48912

Prime factors of 48912 are 2, 3, 1019. Prime factorization of 48912 in exponential form is:

48912 = 2⁴ × 3¹ × 1019¹

Step-3: Factors of 48896

List of positive integer factors of 48896 that divides 48896 without a remainder.

1, 2, 4, 8, 16, 32, 64, 128, 191, 256, 382, 764, 1528, 3056, 6112, 12224, 24448

Step-4: Factors of 48912

List of positive integer factors of 48912 that divides 48896 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 48, 1019, 2038, 3057, 4076, 6114, 8152, 12228, 16304, 24456

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48896 and 48912. The biggest common factor number is the GCF number.
So the greatest common factor 48896 and 48912 is 16.

Also check out the Least Common Multiple of 48896 and 48912