What is the Greatest Common Factor of 73311 and 73323?

Greatest common factor (GCF) of 73311 and 73323 is 3.

GCF(73311,73323) = 3

We will now calculate the prime factors of 73311 and 73323, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73311 and 73323.

How to find the GCF of 73311 and 73323?

We will first find the prime factorization of 73311 and 73323. After we will calculate the factors of 73311 and 73323 and find the biggest common factor number .

Step-1: Prime Factorization of 73311

Prime factors of 73311 are 3, 7, 3491. Prime factorization of 73311 in exponential form is:

73311 = 3¹ × 7¹ × 3491¹

Step-2: Prime Factorization of 73323

Prime factors of 73323 are 3, 8147. Prime factorization of 73323 in exponential form is:

73323 = 3² × 8147¹

Step-3: Factors of 73311

List of positive integer factors of 73311 that divides 73311 without a remainder.

1, 3, 7, 21, 3491, 10473, 24437

Step-4: Factors of 73323

List of positive integer factors of 73323 that divides 73311 without a remainder.

1, 3, 9, 8147, 24441

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73311 and 73323. The biggest common factor number is the GCF number.
So the greatest common factor 73311 and 73323 is 3.

Also check out the Least Common Multiple of 73311 and 73323