What is the Greatest Common Factor of 36660 and 36675?

Greatest common factor (GCF) of 36660 and 36675 is 15.

GCF(36660,36675) = 15

We will now calculate the prime factors of 36660 and 36675, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36660 and 36675.

How to find the GCF of 36660 and 36675?

We will first find the prime factorization of 36660 and 36675. After we will calculate the factors of 36660 and 36675 and find the biggest common factor number .

Step-1: Prime Factorization of 36660

Prime factors of 36660 are 2, 3, 5, 13, 47. Prime factorization of 36660 in exponential form is:

36660 = 2² × 3¹ × 5¹ × 13¹ × 47¹

Step-2: Prime Factorization of 36675

Prime factors of 36675 are 3, 5, 163. Prime factorization of 36675 in exponential form is:

36675 = 3² × 5² × 163¹

Step-3: Factors of 36660

List of positive integer factors of 36660 that divides 36660 without a remainder.

1, 2, 3, 4, 5, 6, 10, 12, 13, 15, 20, 26, 30, 39, 47, 52, 60, 65, 78, 94, 130, 141, 156, 188, 195, 235, 260, 282, 390, 470, 564, 611, 705, 780, 940, 1222, 1410, 1833, 2444, 2820, 3055, 3666, 6110, 7332, 9165, 12220, 18330

Step-4: Factors of 36675

List of positive integer factors of 36675 that divides 36660 without a remainder.

1, 3, 5, 9, 15, 25, 45, 75, 163, 225, 489, 815, 1467, 2445, 4075, 7335, 12225

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36660 and 36675. The biggest common factor number is the GCF number.
So the greatest common factor 36660 and 36675 is 15.

Also check out the Least Common Multiple of 36660 and 36675