What is the Greatest Common Factor of 14789 and 14808?

Greatest common factor (GCF) of 14789 and 14808 is 1.

GCF(14789,14808) = 1

We will now calculate the prime factors of 14789 and 14808, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14789 and 14808.

How to find the GCF of 14789 and 14808?

We will first find the prime factorization of 14789 and 14808. After we will calculate the factors of 14789 and 14808 and find the biggest common factor number .

Step-1: Prime Factorization of 14789

Prime factors of 14789 are 23, 643. Prime factorization of 14789 in exponential form is:

14789 = 23¹ × 643¹

Step-2: Prime Factorization of 14808

Prime factors of 14808 are 2, 3, 617. Prime factorization of 14808 in exponential form is:

14808 = 2³ × 3¹ × 617¹

Step-3: Factors of 14789

List of positive integer factors of 14789 that divides 14789 without a remainder.

1, 23, 643

Step-4: Factors of 14808

List of positive integer factors of 14808 that divides 14789 without a remainder.

1, 2, 3, 4, 6, 8, 12, 24, 617, 1234, 1851, 2468, 3702, 4936, 7404

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14789 and 14808. The biggest common factor number is the GCF number.
So the greatest common factor 14789 and 14808 is 1.

Also check out the Least Common Multiple of 14789 and 14808