What is the Greatest Common Factor of 16530 and 16535?

Greatest common factor (GCF) of 16530 and 16535 is 5.

GCF(16530,16535) = 5

We will now calculate the prime factors of 16530 and 16535, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16530 and 16535.

How to find the GCF of 16530 and 16535?

We will first find the prime factorization of 16530 and 16535. After we will calculate the factors of 16530 and 16535 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16535

Prime factors of 16535 are 5, 3307. Prime factorization of 16535 in exponential form is:

16535 = 5¹ × 3307¹

Step-3: Factors of 16530

List of positive integer factors of 16530 that divides 16530 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

Step-4: Factors of 16535

List of positive integer factors of 16535 that divides 16530 without a remainder.

1, 5, 3307

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16530 and 16535. The biggest common factor number is the GCF number.
So the greatest common factor 16530 and 16535 is 5.

Also check out the Least Common Multiple of 16530 and 16535