What is the Greatest Common Factor of 16536 and 16550?

Greatest common factor (GCF) of 16536 and 16550 is 2.

GCF(16536,16550) = 2

We will now calculate the prime factors of 16536 and 16550, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16536 and 16550.

How to find the GCF of 16536 and 16550?

We will first find the prime factorization of 16536 and 16550. After we will calculate the factors of 16536 and 16550 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 16550

Prime factors of 16550 are 2, 5, 331. Prime factorization of 16550 in exponential form is:

16550 = 2¹ × 5² × 331¹

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 16550

List of positive integer factors of 16550 that divides 16536 without a remainder.

1, 2, 5, 10, 25, 50, 331, 662, 1655, 3310, 8275

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16536 and 16550. The biggest common factor number is the GCF number.
So the greatest common factor 16536 and 16550 is 2.

Also check out the Least Common Multiple of 16536 and 16550