What is the Greatest Common Factor of 16523 and 16530?

Greatest common factor (GCF) of 16523 and 16530 is 1.

GCF(16523,16530) = 1

We will now calculate the prime factors of 16523 and 16530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16523 and 16530.

How to find the GCF of 16523 and 16530?

We will first find the prime factorization of 16523 and 16530. After we will calculate the factors of 16523 and 16530 and find the biggest common factor number .

Step-1: Prime Factorization of 16523

Prime factors of 16523 are 13, 31, 41. Prime factorization of 16523 in exponential form is:

16523 = 13¹ × 31¹ × 41¹

Step-2: Prime Factorization of 16530

Prime factors of 16530 are 2, 3, 5, 19, 29. Prime factorization of 16530 in exponential form is:

16530 = 2¹ × 3¹ × 5¹ × 19¹ × 29¹

Step-3: Factors of 16523

List of positive integer factors of 16523 that divides 16523 without a remainder.

1, 13, 31, 41, 403, 533, 1271

Step-4: Factors of 16530

List of positive integer factors of 16530 that divides 16523 without a remainder.

1, 2, 3, 5, 6, 10, 15, 19, 29, 30, 38, 57, 58, 87, 95, 114, 145, 174, 190, 285, 290, 435, 551, 570, 870, 1102, 1653, 2755, 3306, 5510, 8265

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16523 and 16530. The biggest common factor number is the GCF number.
So the greatest common factor 16523 and 16530 is 1.

Also check out the Least Common Multiple of 16523 and 16530