What is the Greatest Common Factor of 13233 and 13242?

Greatest common factor (GCF) of 13233 and 13242 is 3.

GCF(13233,13242) = 3

We will now calculate the prime factors of 13233 and 13242, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 13233 and 13242.

How to find the GCF of 13233 and 13242?

We will first find the prime factorization of 13233 and 13242. After we will calculate the factors of 13233 and 13242 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 13242

Prime factors of 13242 are 2, 3, 2207. Prime factorization of 13242 in exponential form is:

13242 = 2¹ × 3¹ × 2207¹

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 13242

List of positive integer factors of 13242 that divides 13233 without a remainder.

1, 2, 3, 6, 2207, 4414, 6621

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 13233 and 13242. The biggest common factor number is the GCF number.
So the greatest common factor 13233 and 13242 is 3.

Also check out the Least Common Multiple of 13233 and 13242