What is the Greatest Common Factor of 16514 and 16530?

Greatest common factor (GCF) of 16514 and 16530 is 2.

GCF(16514,16530) = 2

We will now calculate the prime factors of 16514 and 16530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16514 and 16530.

How to find the GCF of 16514 and 16530?

We will first find the prime factorization of 16514 and 16530. After we will calculate the factors of 16514 and 16530 and find the biggest common factor number .

Step-1: Prime Factorization of 16514

Prime factors of 16514 are 2, 23, 359. Prime factorization of 16514 in exponential form is:

16514 = 2¹ × 23¹ × 359¹

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 16514

List of positive integer factors of 16514 that divides 16514 without a remainder.

1, 2, 23, 46, 359, 718, 8257

Step-4: Factors of 16530

List of positive integer factors of 16530 that divides 16514 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 16514 and 16530. The biggest common factor number is the GCF number.
So the greatest common factor 16514 and 16530 is 2.

Also check out the Least Common Multiple of 16514 and 16530