What is the Greatest Common Factor of 16530 and 16546?

Greatest common factor (GCF) of 16530 and 16546 is 2.

GCF(16530,16546) = 2

We will now calculate the prime factors of 16530 and 16546, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16530 and 16546.

How to find the GCF of 16530 and 16546?

We will first find the prime factorization of 16530 and 16546. After we will calculate the factors of 16530 and 16546 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 16546

Prime factors of 16546 are 2, 8273. Prime factorization of 16546 in exponential form is:

16546 = 2¹ × 8273¹

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 16546

List of positive integer factors of 16546 that divides 16530 without a remainder.

1, 2, 8273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16530 and 16546. The biggest common factor number is the GCF number.
So the greatest common factor 16530 and 16546 is 2.

Also check out the Least Common Multiple of 16530 and 16546