What is the Greatest Common Factor of 48128 and 48144?

Greatest common factor (GCF) of 48128 and 48144 is 16.

GCF(48128,48144) = 16

We will now calculate the prime factors of 48128 and 48144, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48128 and 48144.

How to find the GCF of 48128 and 48144?

We will first find the prime factorization of 48128 and 48144. After we will calculate the factors of 48128 and 48144 and find the biggest common factor number .

Step-1: Prime Factorization of 48128

Prime factors of 48128 are 2, 47. Prime factorization of 48128 in exponential form is:

48128 = 2¹⁰ × 47¹

Step-2: Prime Factorization of 48144

Prime factors of 48144 are 2, 3, 17, 59. Prime factorization of 48144 in exponential form is:

48144 = 2⁴ × 3¹ × 17¹ × 59¹

Step-3: Factors of 48128

List of positive integer factors of 48128 that divides 48128 without a remainder.

1, 2, 4, 8, 16, 32, 47, 64, 94, 128, 188, 256, 376, 512, 752, 1024, 1504, 3008, 6016, 12032, 24064

Step-4: Factors of 48144

List of positive integer factors of 48144 that divides 48128 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 17, 24, 34, 48, 51, 59, 68, 102, 118, 136, 177, 204, 236, 272, 354, 408, 472, 708, 816, 944, 1003, 1416, 2006, 2832, 3009, 4012, 6018, 8024, 12036, 16048, 24072

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48128 and 48144. The biggest common factor number is the GCF number.
So the greatest common factor 48128 and 48144 is 16.

Also check out the Least Common Multiple of 48128 and 48144