What is the Greatest Common Factor of 48896 and 48900?

Greatest common factor (GCF) of 48896 and 48900 is 4.

GCF(48896,48900) = 4

We will now calculate the prime factors of 48896 and 48900, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48896 and 48900.

How to find the GCF of 48896 and 48900?

We will first find the prime factorization of 48896 and 48900. After we will calculate the factors of 48896 and 48900 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 48900

Prime factors of 48900 are 2, 3, 5, 163. Prime factorization of 48900 in exponential form is:

48900 = 2² × 3¹ × 5² × 163¹

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 48900

List of positive integer factors of 48900 that divides 48896 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 50, 60, 75, 100, 150, 163, 300, 326, 489, 652, 815, 978, 1630, 1956, 2445, 3260, 4075, 4890, 8150, 9780, 12225, 16300, 24450

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48896 and 48900. The biggest common factor number is the GCF number.
So the greatest common factor 48896 and 48900 is 4.

Also check out the Least Common Multiple of 48896 and 48900