What is the Greatest Common Factor of 16510 and 16530?

Greatest common factor (GCF) of 16510 and 16530 is 10.

GCF(16510,16530) = 10

We will now calculate the prime factors of 16510 and 16530, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16510 and 16530.

How to find the GCF of 16510 and 16530?

We will first find the prime factorization of 16510 and 16530. After we will calculate the factors of 16510 and 16530 and find the biggest common factor number .

Step-1: Prime Factorization of 16510

Prime factors of 16510 are 2, 5, 13, 127. Prime factorization of 16510 in exponential form is:

16510 = 2¹ × 5¹ × 13¹ × 127¹

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 16510

List of positive integer factors of 16510 that divides 16510 without a remainder.

1, 2, 5, 10, 13, 26, 65, 127, 130, 254, 635, 1270, 1651, 3302, 8255

Step-4: Factors of 16530

List of positive integer factors of 16530 that divides 16510 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 16510 and 16530. The biggest common factor number is the GCF number.
So the greatest common factor 16510 and 16530 is 10.

Also check out the Least Common Multiple of 16510 and 16530