What is the Greatest Common Factor of 9300 and 9312?

Greatest common factor (GCF) of 9300 and 9312 is 12.

GCF(9300,9312) = 12

We will now calculate the prime factors of 9300 and 9312, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 9300 and 9312.

How to find the GCF of 9300 and 9312?

We will first find the prime factorization of 9300 and 9312. After we will calculate the factors of 9300 and 9312 and find the biggest common factor number .

Step-1: Prime Factorization of 9300

Prime factors of 9300 are 2, 3, 5, 31. Prime factorization of 9300 in exponential form is:

9300 = 2² × 3¹ × 5² × 31¹

Step-2: Prime Factorization of 9312

Prime factors of 9312 are 2, 3, 97. Prime factorization of 9312 in exponential form is:

9312 = 2⁵ × 3¹ × 97¹

Step-3: Factors of 9300

List of positive integer factors of 9300 that divides 9300 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 15, 20, 25, 30, 31, 50, 60, 62, 75, 93, 100, 124, 150, 155, 186, 300, 310, 372, 465, 620, 775, 930, 1550, 1860, 2325, 3100, 4650

Step-4: Factors of 9312

List of positive integer factors of 9312 that divides 9300 without a remainder.

1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 96, 97, 194, 291, 388, 582, 776, 1164, 1552, 2328, 3104, 4656

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 9300 and 9312. The biggest common factor number is the GCF number.
So the greatest common factor 9300 and 9312 is 12.

Also check out the Least Common Multiple of 9300 and 9312