What is the Greatest Common Factor of 14817 and 14835?

Greatest common factor (GCF) of 14817 and 14835 is 3.

GCF(14817,14835) = 3

We will now calculate the prime factors of 14817 and 14835, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14817 and 14835.

How to find the GCF of 14817 and 14835?

We will first find the prime factorization of 14817 and 14835. After we will calculate the factors of 14817 and 14835 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 14835

Prime factors of 14835 are 3, 5, 23, 43. Prime factorization of 14835 in exponential form is:

14835 = 3¹ × 5¹ × 23¹ × 43¹

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 14835

List of positive integer factors of 14835 that divides 14817 without a remainder.

1, 3, 5, 15, 23, 43, 69, 115, 129, 215, 345, 645, 989, 2967, 4945

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14817 and 14835. The biggest common factor number is the GCF number.
So the greatest common factor 14817 and 14835 is 3.

Also check out the Least Common Multiple of 14817 and 14835