What is the Greatest Common Factor of 16509 and 16520?

Greatest common factor (GCF) of 16509 and 16520 is 1.

GCF(16509,16520) = 1

We will now calculate the prime factors of 16509 and 16520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16509 and 16520.

How to find the GCF of 16509 and 16520?

We will first find the prime factorization of 16509 and 16520. After we will calculate the factors of 16509 and 16520 and find the biggest common factor number .

Step-1: Prime Factorization of 16509

Prime factors of 16509 are 3, 5503. Prime factorization of 16509 in exponential form is:

16509 = 3¹ × 5503¹

Step-2: Prime Factorization of 16520

Prime factors of 16520 are 2, 5, 7, 59. Prime factorization of 16520 in exponential form is:

16520 = 2³ × 5¹ × 7¹ × 59¹

Step-3: Factors of 16509

List of positive integer factors of 16509 that divides 16509 without a remainder.

1, 3, 5503

Step-4: Factors of 16520

List of positive integer factors of 16520 that divides 16509 without a remainder.

1, 2, 4, 5, 7, 8, 10, 14, 20, 28, 35, 40, 56, 59, 70, 118, 140, 236, 280, 295, 413, 472, 590, 826, 1180, 1652, 2065, 2360, 3304, 4130, 8260

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16509 and 16520. The biggest common factor number is the GCF number.
So the greatest common factor 16509 and 16520 is 1.

Also check out the Least Common Multiple of 16509 and 16520