What is the Greatest Common Factor of 8312 and 8326?

Greatest common factor (GCF) of 8312 and 8326 is 2.

GCF(8312,8326) = 2

We will now calculate the prime factors of 8312 and 8326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 8312 and 8326.

How to find the GCF of 8312 and 8326?

We will first find the prime factorization of 8312 and 8326. After we will calculate the factors of 8312 and 8326 and find the biggest common factor number .

Step-1: Prime Factorization of 8312

Prime factors of 8312 are 2, 1039. Prime factorization of 8312 in exponential form is:

8312 = 2³ × 1039¹

Step-2: Prime Factorization of 8326

Prime factors of 8326 are 2, 23, 181. Prime factorization of 8326 in exponential form is:

8326 = 2¹ × 23¹ × 181¹

Step-3: Factors of 8312

List of positive integer factors of 8312 that divides 8312 without a remainder.

1, 2, 4, 8, 1039, 2078, 4156

Step-4: Factors of 8326

List of positive integer factors of 8326 that divides 8312 without a remainder.

1, 2, 23, 46, 181, 362, 4163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 8312 and 8326. The biggest common factor number is the GCF number.
So the greatest common factor 8312 and 8326 is 2.

Also check out the Least Common Multiple of 8312 and 8326