What is the Greatest Common Factor of 64278 and 64287?

Greatest common factor (GCF) of 64278 and 64287 is 9.

GCF(64278,64287) = 9

We will now calculate the prime factors of 64278 and 64287, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64278 and 64287.

How to find the GCF of 64278 and 64287?

We will first find the prime factorization of 64278 and 64287. After we will calculate the factors of 64278 and 64287 and find the biggest common factor number .

Step-1: Prime Factorization of 64278

Prime factors of 64278 are 2, 3, 3571. Prime factorization of 64278 in exponential form is:

64278 = 2¹ × 3² × 3571¹

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 64278

List of positive integer factors of 64278 that divides 64278 without a remainder.

1, 2, 3, 6, 9, 18, 3571, 7142, 10713, 21426, 32139

Step-4: Factors of 64287

List of positive integer factors of 64287 that divides 64278 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64278 and 64287. The biggest common factor number is the GCF number.
So the greatest common factor 64278 and 64287 is 9.

Also check out the Least Common Multiple of 64278 and 64287