What is the Greatest Common Factor of 14817 and 14829?

Greatest common factor (GCF) of 14817 and 14829 is 3.

GCF(14817,14829) = 3

We will now calculate the prime factors of 14817 and 14829, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14817 and 14829.

How to find the GCF of 14817 and 14829?

We will first find the prime factorization of 14817 and 14829. After we will calculate the factors of 14817 and 14829 and find the biggest common factor number .

Step-1: Prime Factorization of 14817

Prime factors of 14817 are 3, 11, 449. Prime factorization of 14817 in exponential form is:

14817 = 3¹ × 11¹ × 449¹

Step-2: Prime Factorization of 14829

Prime factors of 14829 are 3, 4943. Prime factorization of 14829 in exponential form is:

14829 = 3¹ × 4943¹

Step-3: Factors of 14817

List of positive integer factors of 14817 that divides 14817 without a remainder.

1, 3, 11, 33, 449, 1347, 4939

Step-4: Factors of 14829

List of positive integer factors of 14829 that divides 14817 without a remainder.

1, 3, 4943

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14817 and 14829. The biggest common factor number is the GCF number.
So the greatest common factor 14817 and 14829 is 3.

Also check out the Least Common Multiple of 14817 and 14829