What is the Greatest Common Factor of 3609 and 3621?

Greatest common factor (GCF) of 3609 and 3621 is 3.

GCF(3609,3621) = 3

We will now calculate the prime factors of 3609 and 3621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3609 and 3621.

How to find the GCF of 3609 and 3621?

We will first find the prime factorization of 3609 and 3621. After we will calculate the factors of 3609 and 3621 and find the biggest common factor number .

Step-1: Prime Factorization of 3609

Prime factors of 3609 are 3, 401. Prime factorization of 3609 in exponential form is:

3609 = 3² × 401¹

Step-2: Prime Factorization of 3621

Prime factors of 3621 are 3, 17, 71. Prime factorization of 3621 in exponential form is:

3621 = 3¹ × 17¹ × 71¹

Step-3: Factors of 3609

List of positive integer factors of 3609 that divides 3609 without a remainder.

1, 3, 9, 401, 1203

Step-4: Factors of 3621

List of positive integer factors of 3621 that divides 3609 without a remainder.

1, 3, 17, 51, 71, 213, 1207

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3609 and 3621. The biggest common factor number is the GCF number.
So the greatest common factor 3609 and 3621 is 3.

Also check out the Least Common Multiple of 3609 and 3621