What is the Greatest Common Factor of 73284 and 73296?

Greatest common factor (GCF) of 73284 and 73296 is 12.

GCF(73284,73296) = 12

We will now calculate the prime factors of 73284 and 73296, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73284 and 73296.

How to find the GCF of 73284 and 73296?

We will first find the prime factorization of 73284 and 73296. After we will calculate the factors of 73284 and 73296 and find the biggest common factor number .

Step-1: Prime Factorization of 73284

Prime factors of 73284 are 2, 3, 31, 197. Prime factorization of 73284 in exponential form is:

73284 = 2² × 3¹ × 31¹ × 197¹

Step-2: Prime Factorization of 73296

Prime factors of 73296 are 2, 3, 509. Prime factorization of 73296 in exponential form is:

73296 = 2⁴ × 3² × 509¹

Step-3: Factors of 73284

List of positive integer factors of 73284 that divides 73284 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 186, 197, 372, 394, 591, 788, 1182, 2364, 6107, 12214, 18321, 24428, 36642

Step-4: Factors of 73296

List of positive integer factors of 73296 that divides 73284 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 36, 48, 72, 144, 509, 1018, 1527, 2036, 3054, 4072, 4581, 6108, 8144, 9162, 12216, 18324, 24432, 36648

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73284 and 73296. The biggest common factor number is the GCF number.
So the greatest common factor 73284 and 73296 is 12.

Also check out the Least Common Multiple of 73284 and 73296