What is the Greatest Common Factor of 19233 and 19245?

Greatest common factor (GCF) of 19233 and 19245 is 3.

GCF(19233,19245) = 3

We will now calculate the prime factors of 19233 and 19245, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 19233 and 19245.

How to find the GCF of 19233 and 19245?

We will first find the prime factorization of 19233 and 19245. After we will calculate the factors of 19233 and 19245 and find the biggest common factor number .

Step-1: Prime Factorization of 19233

Prime factors of 19233 are 3, 2137. Prime factorization of 19233 in exponential form is:

19233 = 3² × 2137¹

Step-2: Prime Factorization of 19245

Prime factors of 19245 are 3, 5, 1283. Prime factorization of 19245 in exponential form is:

19245 = 3¹ × 5¹ × 1283¹

Step-3: Factors of 19233

List of positive integer factors of 19233 that divides 19233 without a remainder.

1, 3, 9, 2137, 6411

Step-4: Factors of 19245

List of positive integer factors of 19245 that divides 19233 without a remainder.

1, 3, 5, 15, 1283, 3849, 6415

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 19233 and 19245. The biggest common factor number is the GCF number.
So the greatest common factor 19233 and 19245 is 3.

Also check out the Least Common Multiple of 19233 and 19245