What is the Greatest Common Factor of 14808 and 14814?

Greatest common factor (GCF) of 14808 and 14814 is 6.

GCF(14808,14814) = 6

We will now calculate the prime factors of 14808 and 14814, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14808 and 14814.

How to find the GCF of 14808 and 14814?

We will first find the prime factorization of 14808 and 14814. After we will calculate the factors of 14808 and 14814 and find the biggest common factor number .

Step-1: 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-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 14808

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

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

Step-4: Factors of 14814

List of positive integer factors of 14814 that divides 14808 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 14808 and 14814. The biggest common factor number is the GCF number.
So the greatest common factor 14808 and 14814 is 6.

Also check out the Least Common Multiple of 14808 and 14814