What is the Greatest Common Factor of 14706 and 14724?

Greatest common factor (GCF) of 14706 and 14724 is 18.

GCF(14706,14724) = 18

We will now calculate the prime factors of 14706 and 14724, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14706 and 14724.

How to find the GCF of 14706 and 14724?

We will first find the prime factorization of 14706 and 14724. After we will calculate the factors of 14706 and 14724 and find the biggest common factor number .

Step-1: Prime Factorization of 14706

Prime factors of 14706 are 2, 3, 19, 43. Prime factorization of 14706 in exponential form is:

14706 = 2¹ × 3² × 19¹ × 43¹

Step-2: Prime Factorization of 14724

Prime factors of 14724 are 2, 3, 409. Prime factorization of 14724 in exponential form is:

14724 = 2² × 3² × 409¹

Step-3: Factors of 14706

List of positive integer factors of 14706 that divides 14706 without a remainder.

1, 2, 3, 6, 9, 18, 19, 38, 43, 57, 86, 114, 129, 171, 258, 342, 387, 774, 817, 1634, 2451, 4902, 7353

Step-4: Factors of 14724

List of positive integer factors of 14724 that divides 14706 without a remainder.

1, 2, 3, 4, 6, 9, 12, 18, 36, 409, 818, 1227, 1636, 2454, 3681, 4908, 7362

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14706 and 14724. The biggest common factor number is the GCF number.
So the greatest common factor 14706 and 14724 is 18.

Also check out the Least Common Multiple of 14706 and 14724