What is the Greatest Common Factor of 48288 and 48297?

Greatest common factor (GCF) of 48288 and 48297 is 3.

GCF(48288,48297) = 3

We will now calculate the prime factors of 48288 and 48297, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48288 and 48297.

How to find the GCF of 48288 and 48297?

We will first find the prime factorization of 48288 and 48297. After we will calculate the factors of 48288 and 48297 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 48297

Prime factors of 48297 are 3, 17, 947. Prime factorization of 48297 in exponential form is:

48297 = 3¹ × 17¹ × 947¹

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 48297

List of positive integer factors of 48297 that divides 48288 without a remainder.

1, 3, 17, 51, 947, 2841, 16099

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48288 and 48297. The biggest common factor number is the GCF number.
So the greatest common factor 48288 and 48297 is 3.

Also check out the Least Common Multiple of 48288 and 48297