What is the Greatest Common Factor of 14469 and 14477?

Greatest common factor (GCF) of 14469 and 14477 is 1.

GCF(14469,14477) = 1

We will now calculate the prime factors of 14469 and 14477, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14469 and 14477.

How to find the GCF of 14469 and 14477?

We will first find the prime factorization of 14469 and 14477. After we will calculate the factors of 14469 and 14477 and find the biggest common factor number .

Step-1: Prime Factorization of 14469

Prime factors of 14469 are 3, 7, 13, 53. Prime factorization of 14469 in exponential form is:

14469 = 3¹ × 7¹ × 13¹ × 53¹

Step-2: Prime Factorization of 14477

Prime factors of 14477 are 31, 467. Prime factorization of 14477 in exponential form is:

14477 = 31¹ × 467¹

Step-3: Factors of 14469

List of positive integer factors of 14469 that divides 14469 without a remainder.

1, 3, 7, 13, 21, 39, 53, 91, 159, 273, 371, 689, 1113, 2067, 4823

Step-4: Factors of 14477

List of positive integer factors of 14477 that divides 14469 without a remainder.

1, 31, 467

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14469 and 14477. The biggest common factor number is the GCF number.
So the greatest common factor 14469 and 14477 is 1.

Also check out the Least Common Multiple of 14469 and 14477