What is the Greatest Common Factor of 14604 and 14623?

Greatest common factor (GCF) of 14604 and 14623 is 1.

GCF(14604,14623) = 1

We will now calculate the prime factors of 14604 and 14623, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14604 and 14623.

How to find the GCF of 14604 and 14623?

We will first find the prime factorization of 14604 and 14623. After we will calculate the factors of 14604 and 14623 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 14623

Prime factors of 14623 are 7, 2089. Prime factorization of 14623 in exponential form is:

14623 = 7¹ × 2089¹

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 14623

List of positive integer factors of 14623 that divides 14604 without a remainder.

1, 7, 2089

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14604 and 14623. The biggest common factor number is the GCF number.
So the greatest common factor 14604 and 14623 is 1.

Also check out the Least Common Multiple of 14604 and 14623