What is the Greatest Common Factor of 72306 and 72323?

Greatest common factor (GCF) of 72306 and 72323 is 1.

GCF(72306,72323) = 1

We will now calculate the prime factors of 72306 and 72323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72306 and 72323.

How to find the GCF of 72306 and 72323?

We will first find the prime factorization of 72306 and 72323. After we will calculate the factors of 72306 and 72323 and find the biggest common factor number .

Step-1: Prime Factorization of 72306

Prime factors of 72306 are 2, 3, 13, 103. Prime factorization of 72306 in exponential form is:

72306 = 2¹ × 3³ × 13¹ × 103¹

Step-2: Prime Factorization of 72323

Prime factors of 72323 are 31, 2333. Prime factorization of 72323 in exponential form is:

72323 = 31¹ × 2333¹

Step-3: Factors of 72306

List of positive integer factors of 72306 that divides 72306 without a remainder.

1, 2, 3, 6, 9, 13, 18, 26, 27, 39, 54, 78, 103, 117, 206, 234, 309, 351, 618, 702, 927, 1339, 1854, 2678, 2781, 4017, 5562, 8034, 12051, 24102, 36153

Step-4: Factors of 72323

List of positive integer factors of 72323 that divides 72306 without a remainder.

1, 31, 2333

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72306 and 72323. The biggest common factor number is the GCF number.
So the greatest common factor 72306 and 72323 is 1.

Also check out the Least Common Multiple of 72306 and 72323