What is the Greatest Common Factor of 14739 and 14745?

Greatest common factor (GCF) of 14739 and 14745 is 3.

GCF(14739,14745) = 3

We will now calculate the prime factors of 14739 and 14745, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14739 and 14745.

How to find the GCF of 14739 and 14745?

We will first find the prime factorization of 14739 and 14745. After we will calculate the factors of 14739 and 14745 and find the biggest common factor number .

Step-1: Prime Factorization of 14739

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

14739 = 3¹ × 17³

Step-2: Prime Factorization of 14745

Prime factors of 14745 are 3, 5, 983. Prime factorization of 14745 in exponential form is:

14745 = 3¹ × 5¹ × 983¹

Step-3: Factors of 14739

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

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

Step-4: Factors of 14745

List of positive integer factors of 14745 that divides 14739 without a remainder.

1, 3, 5, 15, 983, 2949, 4915

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14739 and 14745. The biggest common factor number is the GCF number.
So the greatest common factor 14739 and 14745 is 3.

Also check out the Least Common Multiple of 14739 and 14745