What is the Greatest Common Factor of 48327 and 48336?

Greatest common factor (GCF) of 48327 and 48336 is 3.

GCF(48327,48336) = 3

We will now calculate the prime factors of 48327 and 48336, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48327 and 48336.

How to find the GCF of 48327 and 48336?

We will first find the prime factorization of 48327 and 48336. After we will calculate the factors of 48327 and 48336 and find the biggest common factor number .

Step-1: Prime Factorization of 48327

Prime factors of 48327 are 3, 89, 181. Prime factorization of 48327 in exponential form is:

48327 = 3¹ × 89¹ × 181¹

Step-2: Prime Factorization of 48336

Prime factors of 48336 are 2, 3, 19, 53. Prime factorization of 48336 in exponential form is:

48336 = 2⁴ × 3¹ × 19¹ × 53¹

Step-3: Factors of 48327

List of positive integer factors of 48327 that divides 48327 without a remainder.

1, 3, 89, 181, 267, 543, 16109

Step-4: Factors of 48336

List of positive integer factors of 48336 that divides 48327 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 19, 24, 38, 48, 53, 57, 76, 106, 114, 152, 159, 212, 228, 304, 318, 424, 456, 636, 848, 912, 1007, 1272, 2014, 2544, 3021, 4028, 6042, 8056, 12084, 16112, 24168

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48327 and 48336. The biggest common factor number is the GCF number.
So the greatest common factor 48327 and 48336 is 3.

Also check out the Least Common Multiple of 48327 and 48336