What is the Greatest Common Factor of 73233 and 73245?

Greatest common factor (GCF) of 73233 and 73245 is 3.

GCF(73233,73245) = 3

We will now calculate the prime factors of 73233 and 73245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 73233 and 73245.

How to find the GCF of 73233 and 73245?

We will first find the prime factorization of 73233 and 73245. After we will calculate the factors of 73233 and 73245 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 73245

Prime factors of 73245 are 3, 5, 19, 257. Prime factorization of 73245 in exponential form is:

73245 = 3¹ × 5¹ × 19¹ × 257¹

Step-3: Factors of 73233

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

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

Step-4: Factors of 73245

List of positive integer factors of 73245 that divides 73233 without a remainder.

1, 3, 5, 15, 19, 57, 95, 257, 285, 771, 1285, 3855, 4883, 14649, 24415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 73233 and 73245. The biggest common factor number is the GCF number.
So the greatest common factor 73233 and 73245 is 3.

Also check out the Least Common Multiple of 73233 and 73245