What is the Greatest Common Factor of 16507 and 16524?

Greatest common factor (GCF) of 16507 and 16524 is 17.

GCF(16507,16524) = 17

We will now calculate the prime factors of 16507 and 16524, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16507 and 16524.

How to find the GCF of 16507 and 16524?

We will first find the prime factorization of 16507 and 16524. After we will calculate the factors of 16507 and 16524 and find the biggest common factor number .

Step-1: Prime Factorization of 16507

Prime factors of 16507 are 17, 971. Prime factorization of 16507 in exponential form is:

16507 = 17¹ × 971¹

Step-2: Prime Factorization of 16524

Prime factors of 16524 are 2, 3, 17. Prime factorization of 16524 in exponential form is:

16524 = 2² × 3⁵ × 17¹

Step-3: Factors of 16507

List of positive integer factors of 16507 that divides 16507 without a remainder.

1, 17, 971

Step-4: Factors of 16524

List of positive integer factors of 16524 that divides 16507 without a remainder.

1, 2, 3, 4, 6, 9, 12, 17, 18, 27, 34, 36, 51, 54, 68, 81, 102, 108, 153, 162, 204, 243, 306, 324, 459, 486, 612, 918, 972, 1377, 1836, 2754, 4131, 5508, 8262

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16507 and 16524. The biggest common factor number is the GCF number.
So the greatest common factor 16507 and 16524 is 17.

Also check out the Least Common Multiple of 16507 and 16524