What is the Greatest Common Factor of 64368 and 64388?

Greatest common factor (GCF) of 64368 and 64388 is 4.

GCF(64368,64388) = 4

We will now calculate the prime factors of 64368 and 64388, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64368 and 64388.

How to find the GCF of 64368 and 64388?

We will first find the prime factorization of 64368 and 64388. After we will calculate the factors of 64368 and 64388 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 64388

Prime factors of 64388 are 2, 16097. Prime factorization of 64388 in exponential form is:

64388 = 2² × 16097¹

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 64388

List of positive integer factors of 64388 that divides 64368 without a remainder.

1, 2, 4, 16097, 32194

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64368 and 64388. The biggest common factor number is the GCF number.
So the greatest common factor 64368 and 64388 is 4.

Also check out the Least Common Multiple of 64368 and 64388