What is the Greatest Common Factor of 36645 and 36660?

Greatest common factor (GCF) of 36645 and 36660 is 15.

GCF(36645,36660) = 15

We will now calculate the prime factors of 36645 and 36660, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36645 and 36660.

How to find the GCF of 36645 and 36660?

We will first find the prime factorization of 36645 and 36660. After we will calculate the factors of 36645 and 36660 and find the biggest common factor number .

Step-1: Prime Factorization of 36645

Prime factors of 36645 are 3, 5, 7, 349. Prime factorization of 36645 in exponential form is:

36645 = 3¹ × 5¹ × 7¹ × 349¹

Step-2: 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-3: Factors of 36645

List of positive integer factors of 36645 that divides 36645 without a remainder.

1, 3, 5, 7, 15, 21, 35, 105, 349, 1047, 1745, 2443, 5235, 7329, 12215

Step-4: Factors of 36660

List of positive integer factors of 36660 that divides 36645 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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36645 and 36660. The biggest common factor number is the GCF number.
So the greatest common factor 36645 and 36660 is 15.

Also check out the Least Common Multiple of 36645 and 36660