What is the Greatest Common Factor of 48896 and 48904?

Greatest common factor (GCF) of 48896 and 48904 is 8.

GCF(48896,48904) = 8

We will now calculate the prime factors of 48896 and 48904, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48896 and 48904.

How to find the GCF of 48896 and 48904?

We will first find the prime factorization of 48896 and 48904. After we will calculate the factors of 48896 and 48904 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 48904

Prime factors of 48904 are 2, 6113. Prime factorization of 48904 in exponential form is:

48904 = 2³ × 6113¹

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 48904

List of positive integer factors of 48904 that divides 48896 without a remainder.

1, 2, 4, 8, 6113, 12226, 24452

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48896 and 48904. The biggest common factor number is the GCF number.
So the greatest common factor 48896 and 48904 is 8.

Also check out the Least Common Multiple of 48896 and 48904