What is the Greatest Common Factor of 36310 and 36326?

Greatest common factor (GCF) of 36310 and 36326 is 2.

GCF(36310,36326) = 2

We will now calculate the prime factors of 36310 and 36326, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36310 and 36326.

How to find the GCF of 36310 and 36326?

We will first find the prime factorization of 36310 and 36326. After we will calculate the factors of 36310 and 36326 and find the biggest common factor number .

Step-1: Prime Factorization of 36310

Prime factors of 36310 are 2, 5, 3631. Prime factorization of 36310 in exponential form is:

36310 = 2¹ × 5¹ × 3631¹

Step-2: Prime Factorization of 36326

Prime factors of 36326 are 2, 41, 443. Prime factorization of 36326 in exponential form is:

36326 = 2¹ × 41¹ × 443¹

Step-3: Factors of 36310

List of positive integer factors of 36310 that divides 36310 without a remainder.

1, 2, 5, 10, 3631, 7262, 18155

Step-4: Factors of 36326

List of positive integer factors of 36326 that divides 36310 without a remainder.

1, 2, 41, 82, 443, 886, 18163

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36310 and 36326. The biggest common factor number is the GCF number.
So the greatest common factor 36310 and 36326 is 2.

Also check out the Least Common Multiple of 36310 and 36326