What is the Greatest Common Factor of 10233 and 10251?

Greatest common factor (GCF) of 10233 and 10251 is 9.

GCF(10233,10251) = 9

We will now calculate the prime factors of 10233 and 10251, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10233 and 10251.

How to find the GCF of 10233 and 10251?

We will first find the prime factorization of 10233 and 10251. After we will calculate the factors of 10233 and 10251 and find the biggest common factor number .

Step-1: Prime Factorization of 10233

Prime factors of 10233 are 3, 379. Prime factorization of 10233 in exponential form is:

10233 = 3³ × 379¹

Step-2: Prime Factorization of 10251

Prime factors of 10251 are 3, 17, 67. Prime factorization of 10251 in exponential form is:

10251 = 3² × 17¹ × 67¹

Step-3: Factors of 10233

List of positive integer factors of 10233 that divides 10233 without a remainder.

1, 3, 9, 27, 379, 1137, 3411

Step-4: Factors of 10251

List of positive integer factors of 10251 that divides 10233 without a remainder.

1, 3, 9, 17, 51, 67, 153, 201, 603, 1139, 3417

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10233 and 10251. The biggest common factor number is the GCF number.
So the greatest common factor 10233 and 10251 is 9.

Also check out the Least Common Multiple of 10233 and 10251