What is the Greatest Common Factor of 14724 and 14739?

Greatest common factor (GCF) of 14724 and 14739 is 3.

GCF(14724,14739) = 3

We will now calculate the prime factors of 14724 and 14739, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14724 and 14739.

How to find the GCF of 14724 and 14739?

We will first find the prime factorization of 14724 and 14739. After we will calculate the factors of 14724 and 14739 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 14739

Prime factors of 14739 are 3, 17. Prime factorization of 14739 in exponential form is:

14739 = 3¹ × 17³

Step-3: Factors of 14724

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

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

Step-4: Factors of 14739

List of positive integer factors of 14739 that divides 14724 without a remainder.

1, 3, 17, 51, 289, 867, 4913

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14724 and 14739. The biggest common factor number is the GCF number.
So the greatest common factor 14724 and 14739 is 3.

Also check out the Least Common Multiple of 14724 and 14739