What is the Greatest Common Factor of 14493 and 14504?

Greatest common factor (GCF) of 14493 and 14504 is 1.

GCF(14493,14504) = 1

We will now calculate the prime factors of 14493 and 14504, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14493 and 14504.

How to find the GCF of 14493 and 14504?

We will first find the prime factorization of 14493 and 14504. After we will calculate the factors of 14493 and 14504 and find the biggest common factor number .

Step-1: Prime Factorization of 14493

Prime factors of 14493 are 3, 4831. Prime factorization of 14493 in exponential form is:

14493 = 3¹ × 4831¹

Step-2: Prime Factorization of 14504

Prime factors of 14504 are 2, 7, 37. Prime factorization of 14504 in exponential form is:

14504 = 2³ × 7² × 37¹

Step-3: Factors of 14493

List of positive integer factors of 14493 that divides 14493 without a remainder.

1, 3, 4831

Step-4: Factors of 14504

List of positive integer factors of 14504 that divides 14493 without a remainder.

1, 2, 4, 7, 8, 14, 28, 37, 49, 56, 74, 98, 148, 196, 259, 296, 392, 518, 1036, 1813, 2072, 3626, 7252

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14493 and 14504. The biggest common factor number is the GCF number.
So the greatest common factor 14493 and 14504 is 1.

Also check out the Least Common Multiple of 14493 and 14504