What is the Greatest Common Factor of 13233 and 13251?

Greatest common factor (GCF) of 13233 and 13251 is 3.

GCF(13233,13251) = 3

We will now calculate the prime factors of 13233 and 13251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13233 and 13251.

How to find the GCF of 13233 and 13251?

We will first find the prime factorization of 13233 and 13251. After we will calculate the factors of 13233 and 13251 and find the biggest common factor number .

Step-1: Prime Factorization of 13233

Prime factors of 13233 are 3, 11, 401. Prime factorization of 13233 in exponential form is:

13233 = 3¹ × 11¹ × 401¹

Step-2: Prime Factorization of 13251

Prime factors of 13251 are 3, 7, 631. Prime factorization of 13251 in exponential form is:

13251 = 3¹ × 7¹ × 631¹

Step-3: Factors of 13233

List of positive integer factors of 13233 that divides 13233 without a remainder.

1, 3, 11, 33, 401, 1203, 4411

Step-4: Factors of 13251

List of positive integer factors of 13251 that divides 13233 without a remainder.

1, 3, 7, 21, 631, 1893, 4417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13233 and 13251. The biggest common factor number is the GCF number.
So the greatest common factor 13233 and 13251 is 3.

Also check out the Least Common Multiple of 13233 and 13251