What is the Greatest Common Factor of 64344 and 64353?

Greatest common factor (GCF) of 64344 and 64353 is 3.

GCF(64344,64353) = 3

We will now calculate the prime factors of 64344 and 64353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64344 and 64353.

How to find the GCF of 64344 and 64353?

We will first find the prime factorization of 64344 and 64353. After we will calculate the factors of 64344 and 64353 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 64353

Prime factors of 64353 are 3, 19, 1129. Prime factorization of 64353 in exponential form is:

64353 = 3¹ × 19¹ × 1129¹

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 64353

List of positive integer factors of 64353 that divides 64344 without a remainder.

1, 3, 19, 57, 1129, 3387, 21451

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64344 and 64353. The biggest common factor number is the GCF number.
So the greatest common factor 64344 and 64353 is 3.

Also check out the Least Common Multiple of 64344 and 64353