What is the Greatest Common Factor of 6344 and 6362?

Greatest common factor (GCF) of 6344 and 6362 is 2.

GCF(6344,6362) = 2

We will now calculate the prime factors of 6344 and 6362, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6344 and 6362.

How to find the GCF of 6344 and 6362?

We will first find the prime factorization of 6344 and 6362. After we will calculate the factors of 6344 and 6362 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 6362

Prime factors of 6362 are 2, 3181. Prime factorization of 6362 in exponential form is:

6362 = 2¹ × 3181¹

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 6362

List of positive integer factors of 6362 that divides 6344 without a remainder.

1, 2, 3181

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6344 and 6362. The biggest common factor number is the GCF number.
So the greatest common factor 6344 and 6362 is 2.

Also check out the Least Common Multiple of 6344 and 6362