What is the Greatest Common Factor of 6348 and 6368?

Greatest common factor (GCF) of 6348 and 6368 is 4.

GCF(6348,6368) = 4

We will now calculate the prime factors of 6348 and 6368, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6348 and 6368.

How to find the GCF of 6348 and 6368?

We will first find the prime factorization of 6348 and 6368. After we will calculate the factors of 6348 and 6368 and find the biggest common factor number .

Step-1: Prime Factorization of 6348

Prime factors of 6348 are 2, 3, 23. Prime factorization of 6348 in exponential form is:

6348 = 2² × 3¹ × 23²

Step-2: Prime Factorization of 6368

Prime factors of 6368 are 2, 199. Prime factorization of 6368 in exponential form is:

6368 = 2⁵ × 199¹

Step-3: Factors of 6348

List of positive integer factors of 6348 that divides 6348 without a remainder.

1, 2, 3, 4, 6, 12, 23, 46, 69, 92, 138, 276, 529, 1058, 1587, 2116, 3174

Step-4: Factors of 6368

List of positive integer factors of 6368 that divides 6348 without a remainder.

1, 2, 4, 8, 16, 32, 199, 398, 796, 1592, 3184

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6348 and 6368. The biggest common factor number is the GCF number.
So the greatest common factor 6348 and 6368 is 4.

Also check out the Least Common Multiple of 6348 and 6368