What is the Greatest Common Factor of 48128 and 48132?

Greatest common factor (GCF) of 48128 and 48132 is 4.

GCF(48128,48132) = 4

We will now calculate the prime factors of 48128 and 48132, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48128 and 48132.

How to find the GCF of 48128 and 48132?

We will first find the prime factorization of 48128 and 48132. After we will calculate the factors of 48128 and 48132 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 48132

Prime factors of 48132 are 2, 3, 7, 191. Prime factorization of 48132 in exponential form is:

48132 = 2² × 3² × 7¹ × 191¹

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 48132

List of positive integer factors of 48132 that divides 48128 without a remainder.

1, 2, 3, 4, 6, 7, 9, 12, 14, 18, 21, 28, 36, 42, 63, 84, 126, 191, 252, 382, 573, 764, 1146, 1337, 1719, 2292, 2674, 3438, 4011, 5348, 6876, 8022, 12033, 16044, 24066

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48128 and 48132. The biggest common factor number is the GCF number.
So the greatest common factor 48128 and 48132 is 4.

Also check out the Least Common Multiple of 48128 and 48132