What is the Greatest Common Factor of 36320 and 36340?

Greatest common factor (GCF) of 36320 and 36340 is 20.

GCF(36320,36340) = 20

We will now calculate the prime factors of 36320 and 36340, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36320 and 36340.

How to find the GCF of 36320 and 36340?

We will first find the prime factorization of 36320 and 36340. After we will calculate the factors of 36320 and 36340 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36340

Prime factors of 36340 are 2, 5, 23, 79. Prime factorization of 36340 in exponential form is:

36340 = 2² × 5¹ × 23¹ × 79¹

Step-3: Factors of 36320

List of positive integer factors of 36320 that divides 36320 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

Step-4: Factors of 36340

List of positive integer factors of 36340 that divides 36320 without a remainder.

1, 2, 4, 5, 10, 20, 23, 46, 79, 92, 115, 158, 230, 316, 395, 460, 790, 1580, 1817, 3634, 7268, 9085, 18170

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36320 and 36340. The biggest common factor number is the GCF number.
So the greatest common factor 36320 and 36340 is 20.

Also check out the Least Common Multiple of 36320 and 36340