What is the Greatest Common Factor of 36310 and 36320?

Greatest common factor (GCF) of 36310 and 36320 is 10.

GCF(36310,36320) = 10

We will now calculate the prime factors of 36310 and 36320, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36310 and 36320.

How to find the GCF of 36310 and 36320?

We will first find the prime factorization of 36310 and 36320. After we will calculate the factors of 36310 and 36320 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 36320

Prime factors of 36320 are 2, 5, 227. Prime factorization of 36320 in exponential form is:

36320 = 2⁵ × 5¹ × 227¹

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 36320

List of positive integer factors of 36320 that divides 36310 without a remainder.

1, 2, 4, 5, 8, 10, 16, 20, 32, 40, 80, 160, 227, 454, 908, 1135, 1816, 2270, 3632, 4540, 7264, 9080, 18160

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36310 and 36320. The biggest common factor number is the GCF number.
So the greatest common factor 36310 and 36320 is 10.

Also check out the Least Common Multiple of 36310 and 36320