What is the Greatest Common Factor of 14814 and 14818?

Greatest common factor (GCF) of 14814 and 14818 is 2.

GCF(14814,14818) = 2

We will now calculate the prime factors of 14814 and 14818, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14814 and 14818.

How to find the GCF of 14814 and 14818?

We will first find the prime factorization of 14814 and 14818. After we will calculate the factors of 14814 and 14818 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 14818

Prime factors of 14818 are 2, 31, 239. Prime factorization of 14818 in exponential form is:

14818 = 2¹ × 31¹ × 239¹

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 14818

List of positive integer factors of 14818 that divides 14814 without a remainder.

1, 2, 31, 62, 239, 478, 7409

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14814 and 14818. The biggest common factor number is the GCF number.
So the greatest common factor 14814 and 14818 is 2.

Also check out the Least Common Multiple of 14814 and 14818