What is the Greatest Common Factor of 48306 and 48312?

Greatest common factor (GCF) of 48306 and 48312 is 6.

GCF(48306,48312) = 6

We will now calculate the prime factors of 48306 and 48312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 48306 and 48312.

How to find the GCF of 48306 and 48312?

We will first find the prime factorization of 48306 and 48312. After we will calculate the factors of 48306 and 48312 and find the biggest common factor number .

Step-1: Prime Factorization of 48306

Prime factors of 48306 are 2, 3, 83, 97. Prime factorization of 48306 in exponential form is:

48306 = 2¹ × 3¹ × 83¹ × 97¹

Step-2: Prime Factorization of 48312

Prime factors of 48312 are 2, 3, 11, 61. Prime factorization of 48312 in exponential form is:

48312 = 2³ × 3² × 11¹ × 61¹

Step-3: Factors of 48306

List of positive integer factors of 48306 that divides 48306 without a remainder.

1, 2, 3, 6, 83, 97, 166, 194, 249, 291, 498, 582, 8051, 16102, 24153

Step-4: Factors of 48312

List of positive integer factors of 48312 that divides 48306 without a remainder.

1, 2, 3, 4, 6, 8, 9, 11, 12, 18, 22, 24, 33, 36, 44, 61, 66, 72, 88, 99, 122, 132, 183, 198, 244, 264, 366, 396, 488, 549, 671, 732, 792, 1098, 1342, 1464, 2013, 2196, 2684, 4026, 4392, 5368, 6039, 8052, 12078, 16104, 24156

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 48306 and 48312. The biggest common factor number is the GCF number.
So the greatest common factor 48306 and 48312 is 6.

Also check out the Least Common Multiple of 48306 and 48312