What is the Greatest Common Factor of 16536 and 16549?

Greatest common factor (GCF) of 16536 and 16549 is 13.

GCF(16536,16549) = 13

We will now calculate the prime factors of 16536 and 16549, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 16536 and 16549.

How to find the GCF of 16536 and 16549?

We will first find the prime factorization of 16536 and 16549. After we will calculate the factors of 16536 and 16549 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 16549

Prime factors of 16549 are 13, 19, 67. Prime factorization of 16549 in exponential form is:

16549 = 13¹ × 19¹ × 67¹

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 16549

List of positive integer factors of 16549 that divides 16536 without a remainder.

1, 13, 19, 67, 247, 871, 1273

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 16536 and 16549. The biggest common factor number is the GCF number.
So the greatest common factor 16536 and 16549 is 13.

Also check out the Least Common Multiple of 16536 and 16549