What is the Greatest Common Factor of 16536 and 16556?

Greatest common factor (GCF) of 16536 and 16556 is 4.

GCF(16536,16556) = 4

We will now calculate the prime factors of 16536 and 16556, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16536 and 16556.

How to find the GCF of 16536 and 16556?

We will first find the prime factorization of 16536 and 16556. After we will calculate the factors of 16536 and 16556 and find the biggest common factor number .

Step-1: Prime Factorization of 16536

Prime factors of 16536 are 2, 3, 13, 53. Prime factorization of 16536 in exponential form is:

16536 = 2³ × 3¹ × 13¹ × 53¹

Step-2: Prime Factorization of 16556

Prime factors of 16556 are 2, 4139. Prime factorization of 16556 in exponential form is:

16556 = 2² × 4139¹

Step-3: Factors of 16536

List of positive integer factors of 16536 that divides 16536 without a remainder.

1, 2, 3, 4, 6, 8, 12, 13, 24, 26, 39, 52, 53, 78, 104, 106, 156, 159, 212, 312, 318, 424, 636, 689, 1272, 1378, 2067, 2756, 4134, 5512, 8268

Step-4: Factors of 16556

List of positive integer factors of 16556 that divides 16536 without a remainder.

1, 2, 4, 4139, 8278

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16536 and 16556. The biggest common factor number is the GCF number.
So the greatest common factor 16536 and 16556 is 4.

Also check out the Least Common Multiple of 16536 and 16556