What is the Greatest Common Factor of 73227 and 73233?

Greatest common factor (GCF) of 73227 and 73233 is 3.

GCF(73227,73233) = 3

We will now calculate the prime factors of 73227 and 73233, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73227 and 73233.

How to find the GCF of 73227 and 73233?

We will first find the prime factorization of 73227 and 73233. After we will calculate the factors of 73227 and 73233 and find the biggest common factor number .

Step-1: Prime Factorization of 73227

Prime factors of 73227 are 3, 7, 11, 317. Prime factorization of 73227 in exponential form is:

73227 = 3¹ × 7¹ × 11¹ × 317¹

Step-2: Prime Factorization of 73233

Prime factors of 73233 are 3, 79, 103. Prime factorization of 73233 in exponential form is:

73233 = 3² × 79¹ × 103¹

Step-3: Factors of 73227

List of positive integer factors of 73227 that divides 73227 without a remainder.

1, 3, 7, 11, 21, 33, 77, 231, 317, 951, 2219, 3487, 6657, 10461, 24409

Step-4: Factors of 73233

List of positive integer factors of 73233 that divides 73227 without a remainder.

1, 3, 9, 79, 103, 237, 309, 711, 927, 8137, 24411

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73227 and 73233. The biggest common factor number is the GCF number.
So the greatest common factor 73227 and 73233 is 3.

Also check out the Least Common Multiple of 73227 and 73233