What is the Greatest Common Factor of 16548 and 16557?

Greatest common factor (GCF) of 16548 and 16557 is 3.

GCF(16548,16557) = 3

We will now calculate the prime factors of 16548 and 16557, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16548 and 16557.

How to find the GCF of 16548 and 16557?

We will first find the prime factorization of 16548 and 16557. After we will calculate the factors of 16548 and 16557 and find the biggest common factor number .

Step-1: 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-2: Prime Factorization of 16557

Prime factors of 16557 are 3, 5519. Prime factorization of 16557 in exponential form is:

16557 = 3¹ × 5519¹

Step-3: Factors of 16548

List of positive integer factors of 16548 that divides 16548 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

Step-4: Factors of 16557

List of positive integer factors of 16557 that divides 16548 without a remainder.

1, 3, 5519

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16548 and 16557. The biggest common factor number is the GCF number.
So the greatest common factor 16548 and 16557 is 3.

Also check out the Least Common Multiple of 16548 and 16557