What is the Greatest Common Factor of 16530 and 16540?

Greatest common factor (GCF) of 16530 and 16540 is 10.

GCF(16530,16540) = 10

We will now calculate the prime factors of 16530 and 16540, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16530 and 16540.

How to find the GCF of 16530 and 16540?

We will first find the prime factorization of 16530 and 16540. After we will calculate the factors of 16530 and 16540 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 16540

Prime factors of 16540 are 2, 5, 827. Prime factorization of 16540 in exponential form is:

16540 = 2² × 5¹ × 827¹

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 16540

List of positive integer factors of 16540 that divides 16530 without a remainder.

1, 2, 4, 5, 10, 20, 827, 1654, 3308, 4135, 8270

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16530 and 16540. The biggest common factor number is the GCF number.
So the greatest common factor 16530 and 16540 is 10.

Also check out the Least Common Multiple of 16530 and 16540