What is the Greatest Common Factor of 48880 and 48896?

Greatest common factor (GCF) of 48880 and 48896 is 16.

GCF(48880,48896) = 16

We will now calculate the prime factors of 48880 and 48896, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48880 and 48896.

How to find the GCF of 48880 and 48896?

We will first find the prime factorization of 48880 and 48896. After we will calculate the factors of 48880 and 48896 and find the biggest common factor number .

Step-1: Prime Factorization of 48880

Prime factors of 48880 are 2, 5, 13, 47. Prime factorization of 48880 in exponential form is:

48880 = 2⁴ × 5¹ × 13¹ × 47¹

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 48880

List of positive integer factors of 48880 that divides 48880 without a remainder.

1, 2, 4, 5, 8, 10, 13, 16, 20, 26, 40, 47, 52, 65, 80, 94, 104, 130, 188, 208, 235, 260, 376, 470, 520, 611, 752, 940, 1040, 1222, 1880, 2444, 3055, 3760, 4888, 6110, 9776, 12220, 24440

Step-4: Factors of 48896

List of positive integer factors of 48896 that divides 48880 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 48880 and 48896. The biggest common factor number is the GCF number.
So the greatest common factor 48880 and 48896 is 16.

Also check out the Least Common Multiple of 48880 and 48896