What is the Greatest Common Factor of 64356 and 64368?

Greatest common factor (GCF) of 64356 and 64368 is 12.

GCF(64356,64368) = 12

We will now calculate the prime factors of 64356 and 64368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64356 and 64368.

How to find the GCF of 64356 and 64368?

We will first find the prime factorization of 64356 and 64368. After we will calculate the factors of 64356 and 64368 and find the biggest common factor number .

Step-1: Prime Factorization of 64356

Prime factors of 64356 are 2, 3, 31, 173. Prime factorization of 64356 in exponential form is:

64356 = 2² × 3¹ × 31¹ × 173¹

Step-2: 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-3: Factors of 64356

List of positive integer factors of 64356 that divides 64356 without a remainder.

1, 2, 3, 4, 6, 12, 31, 62, 93, 124, 173, 186, 346, 372, 519, 692, 1038, 2076, 5363, 10726, 16089, 21452, 32178

Step-4: Factors of 64368

List of positive integer factors of 64368 that divides 64356 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64356 and 64368. The biggest common factor number is the GCF number.
So the greatest common factor 64356 and 64368 is 12.

Also check out the Least Common Multiple of 64356 and 64368