What is the Greatest Common Factor of 6344 and 6358?

Greatest common factor (GCF) of 6344 and 6358 is 2.

GCF(6344,6358) = 2

We will now calculate the prime factors of 6344 and 6358, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6344 and 6358.

How to find the GCF of 6344 and 6358?

We will first find the prime factorization of 6344 and 6358. After we will calculate the factors of 6344 and 6358 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 6358

Prime factors of 6358 are 2, 11, 17. Prime factorization of 6358 in exponential form is:

6358 = 2¹ × 11¹ × 17²

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 6358

List of positive integer factors of 6358 that divides 6344 without a remainder.

1, 2, 11, 17, 22, 34, 187, 289, 374, 578, 3179

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6344 and 6358. The biggest common factor number is the GCF number.
So the greatest common factor 6344 and 6358 is 2.

Also check out the Least Common Multiple of 6344 and 6358