What is the Greatest Common Factor of 48288 and 48304?

Greatest common factor (GCF) of 48288 and 48304 is 16.

GCF(48288,48304) = 16

We will now calculate the prime factors of 48288 and 48304, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48288 and 48304.

How to find the GCF of 48288 and 48304?

We will first find the prime factorization of 48288 and 48304. After we will calculate the factors of 48288 and 48304 and find the biggest common factor number .

Step-1: Prime Factorization of 48288

Prime factors of 48288 are 2, 3, 503. Prime factorization of 48288 in exponential form is:

48288 = 2⁵ × 3¹ × 503¹

Step-2: Prime Factorization of 48304

Prime factors of 48304 are 2, 3019. Prime factorization of 48304 in exponential form is:

48304 = 2⁴ × 3019¹

Step-3: Factors of 48288

List of positive integer factors of 48288 that divides 48288 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 503, 1006, 1509, 2012, 3018, 4024, 6036, 8048, 12072, 16096, 24144

Step-4: Factors of 48304

List of positive integer factors of 48304 that divides 48288 without a remainder.

1, 2, 4, 8, 16, 3019, 6038, 12076, 24152

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48288 and 48304. The biggest common factor number is the GCF number.
So the greatest common factor 48288 and 48304 is 16.

Also check out the Least Common Multiple of 48288 and 48304