What is the Greatest Common Factor of 64329 and 64344?

Greatest common factor (GCF) of 64329 and 64344 is 3.

GCF(64329,64344) = 3

We will now calculate the prime factors of 64329 and 64344, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64329 and 64344.

How to find the GCF of 64329 and 64344?

We will first find the prime factorization of 64329 and 64344. After we will calculate the factors of 64329 and 64344 and find the biggest common factor number .

Step-1: Prime Factorization of 64329

Prime factors of 64329 are 3, 41, 523. Prime factorization of 64329 in exponential form is:

64329 = 3¹ × 41¹ × 523¹

Step-2: 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-3: Factors of 64329

List of positive integer factors of 64329 that divides 64329 without a remainder.

1, 3, 41, 123, 523, 1569, 21443

Step-4: Factors of 64344

List of positive integer factors of 64344 that divides 64329 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64329 and 64344. The biggest common factor number is the GCF number.
So the greatest common factor 64329 and 64344 is 3.

Also check out the Least Common Multiple of 64329 and 64344