What is the Greatest Common Factor of 3609 and 3624?

Greatest common factor (GCF) of 3609 and 3624 is 3.

GCF(3609,3624) = 3

We will now calculate the prime factors of 3609 and 3624, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3609 and 3624.

How to find the GCF of 3609 and 3624?

We will first find the prime factorization of 3609 and 3624. After we will calculate the factors of 3609 and 3624 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 3624

Prime factors of 3624 are 2, 3, 151. Prime factorization of 3624 in exponential form is:

3624 = 2³ × 3¹ × 151¹

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 3624

List of positive integer factors of 3624 that divides 3609 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 151, 302, 453, 604, 906, 1208, 1812

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3609 and 3624. The biggest common factor number is the GCF number.
So the greatest common factor 3609 and 3624 is 3.

Also check out the Least Common Multiple of 3609 and 3624