What is the Greatest Common Factor of 7233 and 7251?

Greatest common factor (GCF) of 7233 and 7251 is 3.

GCF(7233,7251) = 3

We will now calculate the prime factors of 7233 and 7251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 7233 and 7251.

How to find the GCF of 7233 and 7251?

We will first find the prime factorization of 7233 and 7251. After we will calculate the factors of 7233 and 7251 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 7251

Prime factors of 7251 are 3, 2417. Prime factorization of 7251 in exponential form is:

7251 = 3¹ × 2417¹

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 7251

List of positive integer factors of 7251 that divides 7233 without a remainder.

1, 3, 2417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 7233 and 7251. The biggest common factor number is the GCF number.
So the greatest common factor 7233 and 7251 is 3.

Also check out the Least Common Multiple of 7233 and 7251