What is the Greatest Common Factor of 14509 and 14516?

Greatest common factor (GCF) of 14509 and 14516 is 1.

GCF(14509,14516) = 1

We will now calculate the prime factors of 14509 and 14516, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 14509 and 14516.

How to find the GCF of 14509 and 14516?

We will first find the prime factorization of 14509 and 14516. After we will calculate the factors of 14509 and 14516 and find the biggest common factor number .

Step-1: Prime Factorization of 14509

Prime factors of 14509 are 11, 1319. Prime factorization of 14509 in exponential form is:

14509 = 11¹ × 1319¹

Step-2: Prime Factorization of 14516

Prime factors of 14516 are 2, 19, 191. Prime factorization of 14516 in exponential form is:

14516 = 2² × 19¹ × 191¹

Step-3: Factors of 14509

List of positive integer factors of 14509 that divides 14509 without a remainder.

1, 11, 1319

Step-4: Factors of 14516

List of positive integer factors of 14516 that divides 14509 without a remainder.

1, 2, 4, 19, 38, 76, 191, 382, 764, 3629, 7258

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 14509 and 14516. The biggest common factor number is the GCF number.
So the greatest common factor 14509 and 14516 is 1.

Also check out the Least Common Multiple of 14509 and 14516