What is the Greatest Common Factor of 14781 and 14801?

Greatest common factor (GCF) of 14781 and 14801 is 1.

GCF(14781,14801) = 1

We will now calculate the prime factors of 14781 and 14801, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14781 and 14801.

How to find the GCF of 14781 and 14801?

We will first find the prime factorization of 14781 and 14801. After we will calculate the factors of 14781 and 14801 and find the biggest common factor number .

Step-1: Prime Factorization of 14781

Prime factors of 14781 are 3, 13, 379. Prime factorization of 14781 in exponential form is:

14781 = 3¹ × 13¹ × 379¹

Step-2: Prime Factorization of 14801

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

14801 = 19² × 41¹

Step-3: Factors of 14781

List of positive integer factors of 14781 that divides 14781 without a remainder.

1, 3, 13, 39, 379, 1137, 4927

Step-4: Factors of 14801

List of positive integer factors of 14801 that divides 14781 without a remainder.

1, 19, 41, 361, 779

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14781 and 14801. The biggest common factor number is the GCF number.
So the greatest common factor 14781 and 14801 is 1.

Also check out the Least Common Multiple of 14781 and 14801