What is the Greatest Common Factor of 6306 and 6326?

Greatest common factor (GCF) of 6306 and 6326 is 2.

GCF(6306,6326) = 2

We will now calculate the prime factors of 6306 and 6326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 6306 and 6326.

How to find the GCF of 6306 and 6326?

We will first find the prime factorization of 6306 and 6326. After we will calculate the factors of 6306 and 6326 and find the biggest common factor number .

Step-1: Prime Factorization of 6306

Prime factors of 6306 are 2, 3, 1051. Prime factorization of 6306 in exponential form is:

6306 = 2¹ × 3¹ × 1051¹

Step-2: Prime Factorization of 6326

Prime factors of 6326 are 2, 3163. Prime factorization of 6326 in exponential form is:

6326 = 2¹ × 3163¹

Step-3: Factors of 6306

List of positive integer factors of 6306 that divides 6306 without a remainder.

1, 2, 3, 6, 1051, 2102, 3153

Step-4: Factors of 6326

List of positive integer factors of 6326 that divides 6306 without a remainder.

1, 2, 3163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 6306 and 6326. The biggest common factor number is the GCF number.
So the greatest common factor 6306 and 6326 is 2.

Also check out the Least Common Multiple of 6306 and 6326