What is the Greatest Common Factor of 48276 and 48288?

Greatest common factor (GCF) of 48276 and 48288 is 12.

GCF(48276,48288) = 12

We will now calculate the prime factors of 48276 and 48288, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48276 and 48288.

How to find the GCF of 48276 and 48288?

We will first find the prime factorization of 48276 and 48288. After we will calculate the factors of 48276 and 48288 and find the biggest common factor number .

Step-1: Prime Factorization of 48276

Prime factors of 48276 are 2, 3, 149. Prime factorization of 48276 in exponential form is:

48276 = 2² × 3⁴ × 149¹

Step-2: 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-3: Factors of 48276

List of positive integer factors of 48276 that divides 48276 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 27, 36, 54, 81, 108, 149, 162, 298, 324, 447, 596, 894, 1341, 1788, 2682, 4023, 5364, 8046, 12069, 16092, 24138

Step-4: Factors of 48288

List of positive integer factors of 48288 that divides 48276 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48276 and 48288. The biggest common factor number is the GCF number.
So the greatest common factor 48276 and 48288 is 12.

Also check out the Least Common Multiple of 48276 and 48288