What is the Greatest Common Factor of 3645 and 3652?

Greatest common factor (GCF) of 3645 and 3652 is 1.

GCF(3645,3652) = 1

We will now calculate the prime factors of 3645 and 3652, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3645 and 3652.

How to find the GCF of 3645 and 3652?

We will first find the prime factorization of 3645 and 3652. After we will calculate the factors of 3645 and 3652 and find the biggest common factor number .

Step-1: Prime Factorization of 3645

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

3645 = 3⁶ × 5¹

Step-2: Prime Factorization of 3652

Prime factors of 3652 are 2, 11, 83. Prime factorization of 3652 in exponential form is:

3652 = 2² × 11¹ × 83¹

Step-3: Factors of 3645

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

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

Step-4: Factors of 3652

List of positive integer factors of 3652 that divides 3645 without a remainder.

1, 2, 4, 11, 22, 44, 83, 166, 332, 913, 1826

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3645 and 3652. The biggest common factor number is the GCF number.
So the greatest common factor 3645 and 3652 is 1.

Also check out the Least Common Multiple of 3645 and 3652