What is the Greatest Common Factor of 36630 and 36645?

Greatest common factor (GCF) of 36630 and 36645 is 15.

GCF(36630,36645) = 15

We will now calculate the prime factors of 36630 and 36645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 36630 and 36645.

How to find the GCF of 36630 and 36645?

We will first find the prime factorization of 36630 and 36645. After we will calculate the factors of 36630 and 36645 and find the biggest common factor number .

Step-1: Prime Factorization of 36630

Prime factors of 36630 are 2, 3, 5, 11, 37. Prime factorization of 36630 in exponential form is:

36630 = 2¹ × 3² × 5¹ × 11¹ × 37¹

Step-2: 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-3: Factors of 36630

List of positive integer factors of 36630 that divides 36630 without a remainder.

1, 2, 3, 5, 6, 9, 10, 11, 15, 18, 22, 30, 33, 37, 45, 55, 66, 74, 90, 99, 110, 111, 165, 185, 198, 222, 330, 333, 370, 407, 495, 555, 666, 814, 990, 1110, 1221, 1665, 2035, 2442, 3330, 3663, 4070, 6105, 7326, 12210, 18315

Step-4: Factors of 36645

List of positive integer factors of 36645 that divides 36630 without a remainder.

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

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 36630 and 36645. The biggest common factor number is the GCF number.
So the greatest common factor 36630 and 36645 is 15.

Also check out the Least Common Multiple of 36630 and 36645