What is the Greatest Common Factor of 6344 and 6353?

Greatest common factor (GCF) of 6344 and 6353 is 1.

GCF(6344,6353) = 1

We will now calculate the prime factors of 6344 and 6353, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6344 and 6353.

How to find the GCF of 6344 and 6353?

We will first find the prime factorization of 6344 and 6353. After we will calculate the factors of 6344 and 6353 and find the biggest common factor number .

Step-1: Prime Factorization of 6344

Prime factors of 6344 are 2, 13, 61. Prime factorization of 6344 in exponential form is:

6344 = 2³ × 13¹ × 61¹

Step-2: Prime Factorization of 6353

Prime factors of 6353 are 6353. Prime factorization of 6353 in exponential form is:

6353 = 6353¹

Step-3: Factors of 6344

List of positive integer factors of 6344 that divides 6344 without a remainder.

1, 2, 4, 8, 13, 26, 52, 61, 104, 122, 244, 488, 793, 1586, 3172

Step-4: Factors of 6353

List of positive integer factors of 6353 that divides 6344 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6344 and 6353. The biggest common factor number is the GCF number.
So the greatest common factor 6344 and 6353 is 1.

Also check out the Least Common Multiple of 6344 and 6353