What is the Greatest Common Factor of 36330 and 36345?

Greatest common factor (GCF) of 36330 and 36345 is 15.

GCF(36330,36345) = 15

We will now calculate the prime factors of 36330 and 36345, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36330 and 36345.

How to find the GCF of 36330 and 36345?

We will first find the prime factorization of 36330 and 36345. After we will calculate the factors of 36330 and 36345 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 36345

Prime factors of 36345 are 3, 5, 2423. Prime factorization of 36345 in exponential form is:

36345 = 3¹ × 5¹ × 2423¹

Step-3: Factors of 36330

List of positive integer factors of 36330 that divides 36330 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

Step-4: Factors of 36345

List of positive integer factors of 36345 that divides 36330 without a remainder.

1, 3, 5, 15, 2423, 7269, 12115

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36330 and 36345. The biggest common factor number is the GCF number.
So the greatest common factor 36330 and 36345 is 15.

Also check out the Least Common Multiple of 36330 and 36345