What is the Greatest Common Factor of 48120 and 48128?

Greatest common factor (GCF) of 48120 and 48128 is 8.

GCF(48120,48128) = 8

We will now calculate the prime factors of 48120 and 48128, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48120 and 48128.

How to find the GCF of 48120 and 48128?

We will first find the prime factorization of 48120 and 48128. After we will calculate the factors of 48120 and 48128 and find the biggest common factor number .

Step-1: Prime Factorization of 48120

Prime factors of 48120 are 2, 3, 5, 401. Prime factorization of 48120 in exponential form is:

48120 = 2³ × 3¹ × 5¹ × 401¹

Step-2: Prime Factorization of 48128

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

48128 = 2¹⁰ × 47¹

Step-3: Factors of 48120

List of positive integer factors of 48120 that divides 48120 without a remainder.

1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 20, 24, 30, 40, 60, 120, 401, 802, 1203, 1604, 2005, 2406, 3208, 4010, 4812, 6015, 8020, 9624, 12030, 16040, 24060

Step-4: Factors of 48128

List of positive integer factors of 48128 that divides 48120 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48120 and 48128. The biggest common factor number is the GCF number.
So the greatest common factor 48120 and 48128 is 8.

Also check out the Least Common Multiple of 48120 and 48128