What is the Greatest Common Factor of 3627 and 3645?

Greatest common factor (GCF) of 3627 and 3645 is 9.

GCF(3627,3645) = 9

We will now calculate the prime factors of 3627 and 3645, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3627 and 3645.

How to find the GCF of 3627 and 3645?

We will first find the prime factorization of 3627 and 3645. After we will calculate the factors of 3627 and 3645 and find the biggest common factor number .

Step-1: Prime Factorization of 3627

Prime factors of 3627 are 3, 13, 31. Prime factorization of 3627 in exponential form is:

3627 = 3² × 13¹ × 31¹

Step-2: Prime Factorization of 3645

Prime factors of 3645 are 3, 5. Prime factorization of 3645 in exponential form is:

3645 = 3⁶ × 5¹

Step-3: Factors of 3627

List of positive integer factors of 3627 that divides 3627 without a remainder.

1, 3, 9, 13, 31, 39, 93, 117, 279, 403, 1209

Step-4: Factors of 3645

List of positive integer factors of 3645 that divides 3627 without a remainder.

1, 3, 5, 9, 15, 27, 45, 81, 135, 243, 405, 729, 1215

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3627 and 3645. The biggest common factor number is the GCF number.
So the greatest common factor 3627 and 3645 is 9.

Also check out the Least Common Multiple of 3627 and 3645