What is the Greatest Common Factor of 14814 and 14823?

Greatest common factor (GCF) of 14814 and 14823 is 9.

GCF(14814,14823) = 9

We will now calculate the prime factors of 14814 and 14823, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14814 and 14823.

How to find the GCF of 14814 and 14823?

We will first find the prime factorization of 14814 and 14823. After we will calculate the factors of 14814 and 14823 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14823

Prime factors of 14823 are 3, 61. Prime factorization of 14823 in exponential form is:

14823 = 3⁵ × 61¹

Step-3: Factors of 14814

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

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

Step-4: Factors of 14823

List of positive integer factors of 14823 that divides 14814 without a remainder.

1, 3, 9, 27, 61, 81, 183, 243, 549, 1647, 4941

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14814 and 14823. The biggest common factor number is the GCF number.
So the greatest common factor 14814 and 14823 is 9.

Also check out the Least Common Multiple of 14814 and 14823