What is the Greatest Common Factor of 16524 and 16538?

Greatest common factor (GCF) of 16524 and 16538 is 2.

GCF(16524,16538) = 2

We will now calculate the prime factors of 16524 and 16538, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16524 and 16538.

How to find the GCF of 16524 and 16538?

We will first find the prime factorization of 16524 and 16538. After we will calculate the factors of 16524 and 16538 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16538

Prime factors of 16538 are 2, 8269. Prime factorization of 16538 in exponential form is:

16538 = 2¹ × 8269¹

Step-3: Factors of 16524

List of positive integer factors of 16524 that divides 16524 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

Step-4: Factors of 16538

List of positive integer factors of 16538 that divides 16524 without a remainder.

1, 2, 8269

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16524 and 16538. The biggest common factor number is the GCF number.
So the greatest common factor 16524 and 16538 is 2.

Also check out the Least Common Multiple of 16524 and 16538