What is the Greatest Common Factor of 14604 and 14621?

Greatest common factor (GCF) of 14604 and 14621 is 1.

GCF(14604,14621) = 1

We will now calculate the prime factors of 14604 and 14621, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14604 and 14621.

How to find the GCF of 14604 and 14621?

We will first find the prime factorization of 14604 and 14621. After we will calculate the factors of 14604 and 14621 and find the biggest common factor number .

Step-1: Prime Factorization of 14604

Prime factors of 14604 are 2, 3, 1217. Prime factorization of 14604 in exponential form is:

14604 = 2² × 3¹ × 1217¹

Step-2: Prime Factorization of 14621

Prime factors of 14621 are 14621. Prime factorization of 14621 in exponential form is:

14621 = 14621¹

Step-3: Factors of 14604

List of positive integer factors of 14604 that divides 14604 without a remainder.

1, 2, 3, 4, 6, 12, 1217, 2434, 3651, 4868, 7302

Step-4: Factors of 14621

List of positive integer factors of 14621 that divides 14604 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14604 and 14621. The biggest common factor number is the GCF number.
So the greatest common factor 14604 and 14621 is 1.

Also check out the Least Common Multiple of 14604 and 14621