What is the Greatest Common Factor of 16539 and 16548?

Greatest common factor (GCF) of 16539 and 16548 is 3.

GCF(16539,16548) = 3

We will now calculate the prime factors of 16539 and 16548, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16539 and 16548.

How to find the GCF of 16539 and 16548?

We will first find the prime factorization of 16539 and 16548. After we will calculate the factors of 16539 and 16548 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16548

Prime factors of 16548 are 2, 3, 7, 197. Prime factorization of 16548 in exponential form is:

16548 = 2² × 3¹ × 7¹ × 197¹

Step-3: Factors of 16539

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

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

Step-4: Factors of 16548

List of positive integer factors of 16548 that divides 16539 without a remainder.

1, 2, 3, 4, 6, 7, 12, 14, 21, 28, 42, 84, 197, 394, 591, 788, 1182, 1379, 2364, 2758, 4137, 5516, 8274

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16539 and 16548. The biggest common factor number is the GCF number.
So the greatest common factor 16539 and 16548 is 3.

Also check out the Least Common Multiple of 16539 and 16548