What is the Greatest Common Factor of 14801 and 14814?

Greatest common factor (GCF) of 14801 and 14814 is 1.

GCF(14801,14814) = 1

We will now calculate the prime factors of 14801 and 14814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14801 and 14814.

How to find the GCF of 14801 and 14814?

We will first find the prime factorization of 14801 and 14814. After we will calculate the factors of 14801 and 14814 and find the biggest common factor number .

Step-1: Prime Factorization of 14801

Prime factors of 14801 are 19, 41. Prime factorization of 14801 in exponential form is:

14801 = 19² × 41¹

Step-2: Prime Factorization of 14814

Prime factors of 14814 are 2, 3, 823. Prime factorization of 14814 in exponential form is:

14814 = 2¹ × 3² × 823¹

Step-3: Factors of 14801

List of positive integer factors of 14801 that divides 14801 without a remainder.

1, 19, 41, 361, 779

Step-4: Factors of 14814

List of positive integer factors of 14814 that divides 14801 without a remainder.

1, 2, 3, 6, 9, 18, 823, 1646, 2469, 4938, 7407

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14801 and 14814. The biggest common factor number is the GCF number.
So the greatest common factor 14801 and 14814 is 1.

Also check out the Least Common Multiple of 14801 and 14814