What is the Greatest Common Factor of 48884 and 48896?

Greatest common factor (GCF) of 48884 and 48896 is 4.

GCF(48884,48896) = 4

We will now calculate the prime factors of 48884 and 48896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48884 and 48896.

How to find the GCF of 48884 and 48896?

We will first find the prime factorization of 48884 and 48896. After we will calculate the factors of 48884 and 48896 and find the biggest common factor number .

Step-1: Prime Factorization of 48884

Prime factors of 48884 are 2, 11, 101. Prime factorization of 48884 in exponential form is:

48884 = 2² × 11² × 101¹

Step-2: Prime Factorization of 48896

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

48896 = 2⁸ × 191¹

Step-3: Factors of 48884

List of positive integer factors of 48884 that divides 48884 without a remainder.

1, 2, 4, 11, 22, 44, 101, 121, 202, 242, 404, 484, 1111, 2222, 4444, 12221, 24442

Step-4: Factors of 48896

List of positive integer factors of 48896 that divides 48884 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48884 and 48896. The biggest common factor number is the GCF number.
So the greatest common factor 48884 and 48896 is 4.

Also check out the Least Common Multiple of 48884 and 48896