What is the Greatest Common Factor of 48896 and 48914?

Greatest common factor (GCF) of 48896 and 48914 is 2.

GCF(48896,48914) = 2

We will now calculate the prime factors of 48896 and 48914, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48896 and 48914.

How to find the GCF of 48896 and 48914?

We will first find the prime factorization of 48896 and 48914. After we will calculate the factors of 48896 and 48914 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 48914

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

48914 = 2¹ × 37¹ × 661¹

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 48914

List of positive integer factors of 48914 that divides 48896 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48896 and 48914. The biggest common factor number is the GCF number.
So the greatest common factor 48896 and 48914 is 2.

Also check out the Least Common Multiple of 48896 and 48914