What is the Greatest Common Factor of 10287 and 10299?

Greatest common factor (GCF) of 10287 and 10299 is 3.

GCF(10287,10299) = 3

We will now calculate the prime factors of 10287 and 10299, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 10287 and 10299.

How to find the GCF of 10287 and 10299?

We will first find the prime factorization of 10287 and 10299. After we will calculate the factors of 10287 and 10299 and find the biggest common factor number .

Step-1: Prime Factorization of 10287

Prime factors of 10287 are 3, 127. Prime factorization of 10287 in exponential form is:

10287 = 3⁴ × 127¹

Step-2: Prime Factorization of 10299

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

10299 = 3¹ × 3433¹

Step-3: Factors of 10287

List of positive integer factors of 10287 that divides 10287 without a remainder.

1, 3, 9, 27, 81, 127, 381, 1143, 3429

Step-4: Factors of 10299

List of positive integer factors of 10299 that divides 10287 without a remainder.

1, 3, 3433

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 10287 and 10299. The biggest common factor number is the GCF number.
So the greatest common factor 10287 and 10299 is 3.

Also check out the Least Common Multiple of 10287 and 10299