What is the Greatest Common Factor of 7233 and 7239?

Greatest common factor (GCF) of 7233 and 7239 is 3.

GCF(7233,7239) = 3

We will now calculate the prime factors of 7233 and 7239, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7233 and 7239.

How to find the GCF of 7233 and 7239?

We will first find the prime factorization of 7233 and 7239. After we will calculate the factors of 7233 and 7239 and find the biggest common factor number .

Step-1: Prime Factorization of 7233

Prime factors of 7233 are 3, 2411. Prime factorization of 7233 in exponential form is:

7233 = 3¹ × 2411¹

Step-2: Prime Factorization of 7239

Prime factors of 7239 are 3, 19, 127. Prime factorization of 7239 in exponential form is:

7239 = 3¹ × 19¹ × 127¹

Step-3: Factors of 7233

List of positive integer factors of 7233 that divides 7233 without a remainder.

1, 3, 2411

Step-4: Factors of 7239

List of positive integer factors of 7239 that divides 7233 without a remainder.

1, 3, 19, 57, 127, 381, 2413

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7233 and 7239. The biggest common factor number is the GCF number.
So the greatest common factor 7233 and 7239 is 3.

Also check out the Least Common Multiple of 7233 and 7239