What is the Greatest Common Factor of 10299 and 10305?

Greatest common factor (GCF) of 10299 and 10305 is 3.

GCF(10299,10305) = 3

We will now calculate the prime factors of 10299 and 10305, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10299 and 10305.

How to find the GCF of 10299 and 10305?

We will first find the prime factorization of 10299 and 10305. After we will calculate the factors of 10299 and 10305 and find the biggest common factor number .

Step-1: Prime Factorization of 10299

Prime factors of 10299 are 3, 3433. Prime factorization of 10299 in exponential form is:

10299 = 3¹ × 3433¹

Step-2: Prime Factorization of 10305

Prime factors of 10305 are 3, 5, 229. Prime factorization of 10305 in exponential form is:

10305 = 3² × 5¹ × 229¹

Step-3: Factors of 10299

List of positive integer factors of 10299 that divides 10299 without a remainder.

1, 3, 3433

Step-4: Factors of 10305

List of positive integer factors of 10305 that divides 10299 without a remainder.

1, 3, 5, 9, 15, 45, 229, 687, 1145, 2061, 3435

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10299 and 10305. The biggest common factor number is the GCF number.
So the greatest common factor 10299 and 10305 is 3.

Also check out the Least Common Multiple of 10299 and 10305