What is the Greatest Common Factor of 14477 and 14492?

Greatest common factor (GCF) of 14477 and 14492 is 1.

GCF(14477,14492) = 1

We will now calculate the prime factors of 14477 and 14492, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14477 and 14492.

How to find the GCF of 14477 and 14492?

We will first find the prime factorization of 14477 and 14492. After we will calculate the factors of 14477 and 14492 and find the biggest common factor number .

Step-1: Prime Factorization of 14477

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

14477 = 31¹ × 467¹

Step-2: Prime Factorization of 14492

Prime factors of 14492 are 2, 3623. Prime factorization of 14492 in exponential form is:

14492 = 2² × 3623¹

Step-3: Factors of 14477

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

1, 31, 467

Step-4: Factors of 14492

List of positive integer factors of 14492 that divides 14477 without a remainder.

1, 2, 4, 3623, 7246

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14477 and 14492. The biggest common factor number is the GCF number.
So the greatest common factor 14477 and 14492 is 1.

Also check out the Least Common Multiple of 14477 and 14492