What is the Greatest Common Factor of 72303 and 72318?

Greatest common factor (GCF) of 72303 and 72318 is 3.

GCF(72303,72318) = 3

We will now calculate the prime factors of 72303 and 72318, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 72303 and 72318.

How to find the GCF of 72303 and 72318?

We will first find the prime factorization of 72303 and 72318. After we will calculate the factors of 72303 and 72318 and find the biggest common factor number .

Step-1: Prime Factorization of 72303

Prime factors of 72303 are 3, 7, 11, 313. Prime factorization of 72303 in exponential form is:

72303 = 3¹ × 7¹ × 11¹ × 313¹

Step-2: Prime Factorization of 72318

Prime factors of 72318 are 2, 3, 17, 709. Prime factorization of 72318 in exponential form is:

72318 = 2¹ × 3¹ × 17¹ × 709¹

Step-3: Factors of 72303

List of positive integer factors of 72303 that divides 72303 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 313, 939, 2191, 3443, 6573, 10329, 24101

Step-4: Factors of 72318

List of positive integer factors of 72318 that divides 72303 without a remainder.

1, 2, 3, 6, 17, 34, 51, 102, 709, 1418, 2127, 4254, 12053, 24106, 36159

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 72303 and 72318. The biggest common factor number is the GCF number.
So the greatest common factor 72303 and 72318 is 3.

Also check out the Least Common Multiple of 72303 and 72318