What is the Greatest Common Factor of 64344 and 64356?

Greatest common factor (GCF) of 64344 and 64356 is 12.

GCF(64344,64356) = 12

We will now calculate the prime factors of 64344 and 64356, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64344 and 64356.

How to find the GCF of 64344 and 64356?

We will first find the prime factorization of 64344 and 64356. After we will calculate the factors of 64344 and 64356 and find the biggest common factor number .

Step-1: Prime Factorization of 64344

Prime factors of 64344 are 2, 3, 7, 383. Prime factorization of 64344 in exponential form is:

64344 = 2³ × 3¹ × 7¹ × 383¹

Step-2: 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-3: Factors of 64344

List of positive integer factors of 64344 that divides 64344 without a remainder.

1, 2, 3, 4, 6, 7, 8, 12, 14, 21, 24, 28, 42, 56, 84, 168, 383, 766, 1149, 1532, 2298, 2681, 3064, 4596, 5362, 8043, 9192, 10724, 16086, 21448, 32172

Step-4: Factors of 64356

List of positive integer factors of 64356 that divides 64344 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64344 and 64356. The biggest common factor number is the GCF number.
So the greatest common factor 64344 and 64356 is 12.

Also check out the Least Common Multiple of 64344 and 64356