What is the Greatest Common Factor of 64344 and 64358?

Greatest common factor (GCF) of 64344 and 64358 is 14.

GCF(64344,64358) = 14

We will now calculate the prime factors of 64344 and 64358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 64344 and 64358.

How to find the GCF of 64344 and 64358?

We will first find the prime factorization of 64344 and 64358. After we will calculate the factors of 64344 and 64358 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 64358

Prime factors of 64358 are 2, 7, 4597. Prime factorization of 64358 in exponential form is:

64358 = 2¹ × 7¹ × 4597¹

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 64358

List of positive integer factors of 64358 that divides 64344 without a remainder.

1, 2, 7, 14, 4597, 9194, 32179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 64344 and 64358. The biggest common factor number is the GCF number.
So the greatest common factor 64344 and 64358 is 14.

Also check out the Least Common Multiple of 64344 and 64358