What is the Greatest Common Factor of 16527 and 16539?

Greatest common factor (GCF) of 16527 and 16539 is 3.

GCF(16527,16539) = 3

We will now calculate the prime factors of 16527 and 16539, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16527 and 16539.

How to find the GCF of 16527 and 16539?

We will first find the prime factorization of 16527 and 16539. After we will calculate the factors of 16527 and 16539 and find the biggest common factor number .

Step-1: Prime Factorization of 16527

Prime factors of 16527 are 3, 7, 787. Prime factorization of 16527 in exponential form is:

16527 = 3¹ × 7¹ × 787¹

Step-2: Prime Factorization of 16539

Prime factors of 16539 are 3, 37, 149. Prime factorization of 16539 in exponential form is:

16539 = 3¹ × 37¹ × 149¹

Step-3: Factors of 16527

List of positive integer factors of 16527 that divides 16527 without a remainder.

1, 3, 7, 21, 787, 2361, 5509

Step-4: Factors of 16539

List of positive integer factors of 16539 that divides 16527 without a remainder.

1, 3, 37, 111, 149, 447, 5513

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16527 and 16539. The biggest common factor number is the GCF number.
So the greatest common factor 16527 and 16539 is 3.

Also check out the Least Common Multiple of 16527 and 16539