What is the Greatest Common Factor of 16513 and 16520?

Greatest common factor (GCF) of 16513 and 16520 is 7.

GCF(16513,16520) = 7

We will now calculate the prime factors of 16513 and 16520, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16513 and 16520.

How to find the GCF of 16513 and 16520?

We will first find the prime factorization of 16513 and 16520. After we will calculate the factors of 16513 and 16520 and find the biggest common factor number .

Step-1: Prime Factorization of 16513

Prime factors of 16513 are 7, 337. Prime factorization of 16513 in exponential form is:

16513 = 7² × 337¹

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 16513

List of positive integer factors of 16513 that divides 16513 without a remainder.

1, 7, 49, 337, 2359

Step-4: Factors of 16520

List of positive integer factors of 16520 that divides 16513 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 16513 and 16520. The biggest common factor number is the GCF number.
So the greatest common factor 16513 and 16520 is 7.

Also check out the Least Common Multiple of 16513 and 16520