What is the Greatest Common Factor of 36320 and 36330?

Greatest common factor (GCF) of 36320 and 36330 is 10.

GCF(36320,36330) = 10

We will now calculate the prime factors of 36320 and 36330, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36320 and 36330.

How to find the GCF of 36320 and 36330?

We will first find the prime factorization of 36320 and 36330. After we will calculate the factors of 36320 and 36330 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 36330

Prime factors of 36330 are 2, 3, 5, 7, 173. Prime factorization of 36330 in exponential form is:

36330 = 2¹ × 3¹ × 5¹ × 7¹ × 173¹

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 36330

List of positive integer factors of 36330 that divides 36320 without a remainder.

1, 2, 3, 5, 6, 7, 10, 14, 15, 21, 30, 35, 42, 70, 105, 173, 210, 346, 519, 865, 1038, 1211, 1730, 2422, 2595, 3633, 5190, 6055, 7266, 12110, 18165

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36320 and 36330. The biggest common factor number is the GCF number.
So the greatest common factor 36320 and 36330 is 10.

Also check out the Least Common Multiple of 36320 and 36330