What is the Greatest Common Factor of 14823 and 14838?

Greatest common factor (GCF) of 14823 and 14838 is 3.

GCF(14823,14838) = 3

We will now calculate the prime factors of 14823 and 14838, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14823 and 14838.

How to find the GCF of 14823 and 14838?

We will first find the prime factorization of 14823 and 14838. After we will calculate the factors of 14823 and 14838 and find the biggest common factor number .

Step-1: Prime Factorization of 14823

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

14823 = 3⁵ × 61¹

Step-2: Prime Factorization of 14838

Prime factors of 14838 are 2, 3, 2473. Prime factorization of 14838 in exponential form is:

14838 = 2¹ × 3¹ × 2473¹

Step-3: Factors of 14823

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

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

Step-4: Factors of 14838

List of positive integer factors of 14838 that divides 14823 without a remainder.

1, 2, 3, 6, 2473, 4946, 7419

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14823 and 14838. The biggest common factor number is the GCF number.
So the greatest common factor 14823 and 14838 is 3.

Also check out the Least Common Multiple of 14823 and 14838