What is the Greatest Common Factor of 14809 and 14821?

Greatest common factor (GCF) of 14809 and 14821 is 1.

GCF(14809,14821) = 1

We will now calculate the prime factors of 14809 and 14821, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14809 and 14821.

How to find the GCF of 14809 and 14821?

We will first find the prime factorization of 14809 and 14821. After we will calculate the factors of 14809 and 14821 and find the biggest common factor number .

Step-1: Prime Factorization of 14809

Prime factors of 14809 are 59, 251. Prime factorization of 14809 in exponential form is:

14809 = 59¹ × 251¹

Step-2: Prime Factorization of 14821

Prime factors of 14821 are 14821. Prime factorization of 14821 in exponential form is:

14821 = 14821¹

Step-3: Factors of 14809

List of positive integer factors of 14809 that divides 14809 without a remainder.

1, 59, 251

Step-4: Factors of 14821

List of positive integer factors of 14821 that divides 14809 without a remainder.

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14809 and 14821. The biggest common factor number is the GCF number.
So the greatest common factor 14809 and 14821 is 1.

Also check out the Least Common Multiple of 14809 and 14821