What is the Greatest Common Factor of 64269 and 64287?

Greatest common factor (GCF) of 64269 and 64287 is 9.

GCF(64269,64287) = 9

We will now calculate the prime factors of 64269 and 64287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64269 and 64287.

How to find the GCF of 64269 and 64287?

We will first find the prime factorization of 64269 and 64287. After we will calculate the factors of 64269 and 64287 and find the biggest common factor number .

Step-1: Prime Factorization of 64269

Prime factors of 64269 are 3, 37, 193. Prime factorization of 64269 in exponential form is:

64269 = 3² × 37¹ × 193¹

Step-2: Prime Factorization of 64287

Prime factors of 64287 are 3, 2381. Prime factorization of 64287 in exponential form is:

64287 = 3³ × 2381¹

Step-3: Factors of 64269

List of positive integer factors of 64269 that divides 64269 without a remainder.

1, 3, 9, 37, 111, 193, 333, 579, 1737, 7141, 21423

Step-4: Factors of 64287

List of positive integer factors of 64287 that divides 64269 without a remainder.

1, 3, 9, 27, 2381, 7143, 21429

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64269 and 64287. The biggest common factor number is the GCF number.
So the greatest common factor 64269 and 64287 is 9.

Also check out the Least Common Multiple of 64269 and 64287