What is the Greatest Common Factor of 64368 and 64377?

Greatest common factor (GCF) of 64368 and 64377 is 9.

GCF(64368,64377) = 9

We will now calculate the prime factors of 64368 and 64377, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64368 and 64377.

How to find the GCF of 64368 and 64377?

We will first find the prime factorization of 64368 and 64377. After we will calculate the factors of 64368 and 64377 and find the biggest common factor number .

Step-1: Prime Factorization of 64368

Prime factors of 64368 are 2, 3, 149. Prime factorization of 64368 in exponential form is:

64368 = 2⁴ × 3³ × 149¹

Step-2: Prime Factorization of 64377

Prime factors of 64377 are 3, 23, 311. Prime factorization of 64377 in exponential form is:

64377 = 3² × 23¹ × 311¹

Step-3: Factors of 64368

List of positive integer factors of 64368 that divides 64368 without a remainder.

1, 2, 3, 4, 6, 8, 9, 12, 16, 18, 24, 27, 36, 48, 54, 72, 108, 144, 149, 216, 298, 432, 447, 596, 894, 1192, 1341, 1788, 2384, 2682, 3576, 4023, 5364, 7152, 8046, 10728, 16092, 21456, 32184

Step-4: Factors of 64377

List of positive integer factors of 64377 that divides 64368 without a remainder.

1, 3, 9, 23, 69, 207, 311, 933, 2799, 7153, 21459

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64368 and 64377. The biggest common factor number is the GCF number.
So the greatest common factor 64368 and 64377 is 9.

Also check out the Least Common Multiple of 64368 and 64377