What is the Greatest Common Factor of 72293 and 72306?

Greatest common factor (GCF) of 72293 and 72306 is 13.

GCF(72293,72306) = 13

We will now calculate the prime factors of 72293 and 72306, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72293 and 72306.

How to find the GCF of 72293 and 72306?

We will first find the prime factorization of 72293 and 72306. After we will calculate the factors of 72293 and 72306 and find the biggest common factor number .

Step-1: Prime Factorization of 72293

Prime factors of 72293 are 13, 67, 83. Prime factorization of 72293 in exponential form is:

72293 = 13¹ × 67¹ × 83¹

Step-2: 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-3: Factors of 72293

List of positive integer factors of 72293 that divides 72293 without a remainder.

1, 13, 67, 83, 871, 1079, 5561

Step-4: Factors of 72306

List of positive integer factors of 72306 that divides 72293 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72293 and 72306. The biggest common factor number is the GCF number.
So the greatest common factor 72293 and 72306 is 13.

Also check out the Least Common Multiple of 72293 and 72306