What is the Greatest Common Factor of 14517 and 14523?

Greatest common factor (GCF) of 14517 and 14523 is 3.

GCF(14517,14523) = 3

We will now calculate the prime factors of 14517 and 14523, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14517 and 14523.

How to find the GCF of 14517 and 14523?

We will first find the prime factorization of 14517 and 14523. After we will calculate the factors of 14517 and 14523 and find the biggest common factor number .

Step-1: Prime Factorization of 14517

Prime factors of 14517 are 3, 1613. Prime factorization of 14517 in exponential form is:

14517 = 3² × 1613¹

Step-2: Prime Factorization of 14523

Prime factors of 14523 are 3, 47, 103. Prime factorization of 14523 in exponential form is:

14523 = 3¹ × 47¹ × 103¹

Step-3: Factors of 14517

List of positive integer factors of 14517 that divides 14517 without a remainder.

1, 3, 9, 1613, 4839

Step-4: Factors of 14523

List of positive integer factors of 14523 that divides 14517 without a remainder.

1, 3, 47, 103, 141, 309, 4841

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14517 and 14523. The biggest common factor number is the GCF number.
So the greatest common factor 14517 and 14523 is 3.

Also check out the Least Common Multiple of 14517 and 14523