What is the Greatest Common Factor of 3624 and 3628?

Greatest common factor (GCF) of 3624 and 3628 is 4.

GCF(3624,3628) = 4

We will now calculate the prime factors of 3624 and 3628, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 3624 and 3628.

How to find the GCF of 3624 and 3628?

We will first find the prime factorization of 3624 and 3628. After we will calculate the factors of 3624 and 3628 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 3628

Prime factors of 3628 are 2, 907. Prime factorization of 3628 in exponential form is:

3628 = 2² × 907¹

Step-3: Factors of 3624

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

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

Step-4: Factors of 3628

List of positive integer factors of 3628 that divides 3624 without a remainder.

1, 2, 4, 907, 1814

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 3624 and 3628. The biggest common factor number is the GCF number.
So the greatest common factor 3624 and 3628 is 4.

Also check out the Least Common Multiple of 3624 and 3628